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Finding the Fourth Proportional to 31,144.47, 46,688.01 and 12,420.04

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Solution

The fourth proportional to 31,144.47, 46,688.01 and 12,420.04 is: 18,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.47 : 46,688.01 = 12,420.04 : x
  2. Step 2: Convert to fraction form
    31,144.47/46,688.01 = 12,420.04/x
  3. Step 3: Cross multiply
    31,144.47x = 46,688.01 × 12,420.04
  4. Step 4: Simplify right side
    31,144.47x = 579,866,718.28
  5. Step 5: Solve for x
    x = 579,866,718.28/31,144.47
  6. Step 6: Final answer
    x = 18,618.61

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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.