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Finding the Fourth Proportional to 76,507.29, 105,577.95 and 42,514.92

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Solution

The fourth proportional to 76,507.29, 105,577.95 and 42,514.92 is: 58,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.29 : 105,577.95 = 42,514.92 : x
  2. Step 2: Convert to fraction form
    76,507.29/105,577.95 = 42,514.92/x
  3. Step 3: Cross multiply
    76,507.29x = 105,577.95 × 42,514.92
  4. Step 4: Simplify right side
    76,507.29x = 4,488,638,098.01
  5. Step 5: Solve for x
    x = 4,488,638,098.01/76,507.29
  6. Step 6: Final answer
    x = 58,669.42

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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.