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Finding the Fourth Proportional to 31,457.52, 47,178.72 and 9,264.90

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Solution

The fourth proportional to 31,457.52, 47,178.72 and 9,264.90 is: 13,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.52 : 47,178.72 = 9,264.90 : x
  2. Step 2: Convert to fraction form
    31,457.52/47,178.72 = 9,264.90/x
  3. Step 3: Cross multiply
    31,457.52x = 47,178.72 × 9,264.90
  4. Step 4: Simplify right side
    31,457.52x = 437,106,122.93
  5. Step 5: Solve for x
    x = 437,106,122.93/31,457.52
  6. Step 6: Final answer
    x = 13,895.12

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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.