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Finding the Fourth Proportional to 31,535.71, 47,303.75 and 9,349.28

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Solution

The fourth proportional to 31,535.71, 47,303.75 and 9,349.28 is: 14,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,535.71 : 47,303.75 = 9,349.28 : x
  2. Step 2: Convert to fraction form
    31,535.71/47,303.75 = 9,349.28/x
  3. Step 3: Cross multiply
    31,535.71x = 47,303.75 × 9,349.28
  4. Step 4: Simplify right side
    31,535.71x = 442,255,720.53
  5. Step 5: Solve for x
    x = 442,255,720.53/31,535.71
  6. Step 6: Final answer
    x = 14,023.97

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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.