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Finding the Fourth Proportional to 31,200.80, 46,801.20 and 10,424.30

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Solution

The fourth proportional to 31,200.80, 46,801.20 and 10,424.30 is: 15,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.80 : 46,801.20 = 10,424.30 : x
  2. Step 2: Convert to fraction form
    31,200.80/46,801.20 = 10,424.30/x
  3. Step 3: Cross multiply
    31,200.80x = 46,801.20 × 10,424.30
  4. Step 4: Simplify right side
    31,200.80x = 487,869,749.16
  5. Step 5: Solve for x
    x = 487,869,749.16/31,200.80
  6. Step 6: Final answer
    x = 15,636.45

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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.