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Finding the Fourth Proportional to 32,971,384.80, 49,456,558.80 and 9,036,856.80

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Solution

The fourth proportional to 32,971,384.80, 49,456,558.80 and 9,036,856.80 is: 13,555,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971,384.80 : 49,456,558.80 = 9,036,856.80 : x
  2. Step 2: Convert to fraction form
    32,971,384.80/49,456,558.80 = 9,036,856.80/x
  3. Step 3: Cross multiply
    32,971,384.80x = 49,456,558.80 × 9,036,856.80
  4. Step 4: Simplify right side
    32,971,384.80x = 446,931,839,696,379.88
  5. Step 5: Solve for x
    x = 446,931,839,696,379.88/32,971,384.80
  6. Step 6: Final answer
    x = 13,555,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.