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Finding the Fourth Proportional to 31,535.36, 47,293.32 and 10,754

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Solution

The fourth proportional to 31,535.36, 47,293.32 and 10,754 is: 16,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,535.36 : 47,293.32 = 10,754 : x
  2. Step 2: Convert to fraction form
    31,535.36/47,293.32 = 10,754/x
  3. Step 3: Cross multiply
    31,535.36x = 47,293.32 × 10,754
  4. Step 4: Simplify right side
    31,535.36x = 508,592,363.28
  5. Step 5: Solve for x
    x = 508,592,363.28/31,535.36
  6. Step 6: Final answer
    x = 16,127.69

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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.