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Finding the Fourth Proportional to 76,516.61, 105,590.39 and 42,061.46

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Solution

The fourth proportional to 76,516.61, 105,590.39 and 42,061.46 is: 58,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516.61 : 105,590.39 = 42,061.46 : x
  2. Step 2: Convert to fraction form
    76,516.61/105,590.39 = 42,061.46/x
  3. Step 3: Cross multiply
    76,516.61x = 105,590.39 × 42,061.46
  4. Step 4: Simplify right side
    76,516.61x = 4,441,285,227.11
  5. Step 5: Solve for x
    x = 4,441,285,227.11/76,516.61
  6. Step 6: Final answer
    x = 58,043.42

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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.