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Finding the Fourth Proportional to 42,565.74, 58,714.09 and 30,610.14

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Solution

The fourth proportional to 42,565.74, 58,714.09 and 30,610.14 is: 42,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565.74 : 58,714.09 = 30,610.14 : x
  2. Step 2: Convert to fraction form
    42,565.74/58,714.09 = 30,610.14/x
  3. Step 3: Cross multiply
    42,565.74x = 58,714.09 × 30,610.14
  4. Step 4: Simplify right side
    42,565.74x = 1,797,246,514.87
  5. Step 5: Solve for x
    x = 1,797,246,514.87/42,565.74
  6. Step 6: Final answer
    x = 42,222.84

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