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Finding the Fourth Proportional to 32,856.80, 49,292.40 and 10,666.40

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Solution

The fourth proportional to 32,856.80, 49,292.40 and 10,666.40 is: 16,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.80 : 49,292.40 = 10,666.40 : x
  2. Step 2: Convert to fraction form
    32,856.80/49,292.40 = 10,666.40/x
  3. Step 3: Cross multiply
    32,856.80x = 49,292.40 × 10,666.40
  4. Step 4: Simplify right side
    32,856.80x = 525,772,455.36
  5. Step 5: Solve for x
    x = 525,772,455.36/32,856.80
  6. Step 6: Final answer
    x = 16,001.94

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