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Finding the Fourth Proportional to 76,508.08, 105,574.42 and 42,514.40

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Solution

The fourth proportional to 76,508.08, 105,574.42 and 42,514.40 is: 58,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508.08 : 105,574.42 = 42,514.40 : x
  2. Step 2: Convert to fraction form
    76,508.08/105,574.42 = 42,514.40/x
  3. Step 3: Cross multiply
    76,508.08x = 105,574.42 × 42,514.40
  4. Step 4: Simplify right side
    76,508.08x = 4,488,433,438.73
  5. Step 5: Solve for x
    x = 4,488,433,438.73/76,508.08
  6. Step 6: Final answer
    x = 58,666.14

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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.