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Finding the Fourth Proportional to 31,546, 47,312.24 and 9,359.52

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Solution

The fourth proportional to 31,546, 47,312.24 and 9,359.52 is: 14,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546 : 47,312.24 = 9,359.52 : x
  2. Step 2: Convert to fraction form
    31,546/47,312.24 = 9,359.52/x
  3. Step 3: Cross multiply
    31,546x = 47,312.24 × 9,359.52
  4. Step 4: Simplify right side
    31,546x = 442,819,856.52
  5. Step 5: Solve for x
    x = 442,819,856.52/31,546
  6. Step 6: Final answer
    x = 14,037.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.