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Finding the Fourth Proportional to 31,336, 47,005.92 and 9,448

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Solution

The fourth proportional to 31,336, 47,005.92 and 9,448 is: 14,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336 : 47,005.92 = 9,448 : x
  2. Step 2: Convert to fraction form
    31,336/47,005.92 = 9,448/x
  3. Step 3: Cross multiply
    31,336x = 47,005.92 × 9,448
  4. Step 4: Simplify right side
    31,336x = 444,111,932.16
  5. Step 5: Solve for x
    x = 444,111,932.16/31,336
  6. Step 6: Final answer
    x = 14,172.58

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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.