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Finding the Fourth Proportional to 31,574.19, 47,360.22 and 9,387.68

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Solution

The fourth proportional to 31,574.19, 47,360.22 and 9,387.68 is: 14,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.19 : 47,360.22 = 9,387.68 : x
  2. Step 2: Convert to fraction form
    31,574.19/47,360.22 = 9,387.68/x
  3. Step 3: Cross multiply
    31,574.19x = 47,360.22 × 9,387.68
  4. Step 4: Simplify right side
    31,574.19x = 444,602,353.29
  5. Step 5: Solve for x
    x = 444,602,353.29/31,574.19
  6. Step 6: Final answer
    x = 14,081.20

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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.