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Finding the Fourth Proportional to 31,642.18, 47,470.08 and 9,457.36

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Solution

The fourth proportional to 31,642.18, 47,470.08 and 9,457.36 is: 14,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.18 : 47,470.08 = 9,457.36 : x
  2. Step 2: Convert to fraction form
    31,642.18/47,470.08 = 9,457.36/x
  3. Step 3: Cross multiply
    31,642.18x = 47,470.08 × 9,457.36
  4. Step 4: Simplify right side
    31,642.18x = 448,941,635.79
  5. Step 5: Solve for x
    x = 448,941,635.79/31,642.18
  6. Step 6: Final answer
    x = 14,188.08

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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.