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Finding the Fourth Proportional to 42,714.80, 58,973.52 and 27,614.72

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Solution

The fourth proportional to 42,714.80, 58,973.52 and 27,614.72 is: 38,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.80 : 58,973.52 = 27,614.72 : x
  2. Step 2: Convert to fraction form
    42,714.80/58,973.52 = 27,614.72/x
  3. Step 3: Cross multiply
    42,714.80x = 58,973.52 × 27,614.72
  4. Step 4: Simplify right side
    42,714.80x = 1,628,537,242.21
  5. Step 5: Solve for x
    x = 1,628,537,242.21/42,714.80
  6. Step 6: Final answer
    x = 38,125.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.