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Finding the Fourth Proportional to 32,813.98, 49,225.80 and 10,619.98

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Solution

The fourth proportional to 32,813.98, 49,225.80 and 10,619.98 is: 15,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.98 : 49,225.80 = 10,619.98 : x
  2. Step 2: Convert to fraction form
    32,813.98/49,225.80 = 10,619.98/x
  3. Step 3: Cross multiply
    32,813.98x = 49,225.80 × 10,619.98
  4. Step 4: Simplify right side
    32,813.98x = 522,777,011.48
  5. Step 5: Solve for x
    x = 522,777,011.48/32,813.98
  6. Step 6: Final answer
    x = 15,931.53

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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.