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Finding the Fourth Proportional to 31,542.54, 47,313.98 and 9,356.10

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Solution

The fourth proportional to 31,542.54, 47,313.98 and 9,356.10 is: 14,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.54 : 47,313.98 = 9,356.10 : x
  2. Step 2: Convert to fraction form
    31,542.54/47,313.98 = 9,356.10/x
  3. Step 3: Cross multiply
    31,542.54x = 47,313.98 × 9,356.10
  4. Step 4: Simplify right side
    31,542.54x = 442,674,328.28
  5. Step 5: Solve for x
    x = 442,674,328.28/31,542.54
  6. Step 6: Final answer
    x = 14,034.20

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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.