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Finding the Fourth Proportional to 31,602.14, 47,417.04 and 14,974.04

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Solution

The fourth proportional to 31,602.14, 47,417.04 and 14,974.04 is: 22,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.14 : 47,417.04 = 14,974.04 : x
  2. Step 2: Convert to fraction form
    31,602.14/47,417.04 = 14,974.04/x
  3. Step 3: Cross multiply
    31,602.14x = 47,417.04 × 14,974.04
  4. Step 4: Simplify right side
    31,602.14x = 710,024,653.64
  5. Step 5: Solve for x
    x = 710,024,653.64/31,602.14
  6. Step 6: Final answer
    x = 22,467.61

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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.