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Finding the Fourth Proportional to 76,482.61, 105,562.86 and 42,502.75

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Solution

The fourth proportional to 76,482.61, 105,562.86 and 42,502.75 is: 58,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482.61 : 105,562.86 = 42,502.75 : x
  2. Step 2: Convert to fraction form
    76,482.61/105,562.86 = 42,502.75/x
  3. Step 3: Cross multiply
    76,482.61x = 105,562.86 × 42,502.75
  4. Step 4: Simplify right side
    76,482.61x = 4,486,711,847.87
  5. Step 5: Solve for x
    x = 4,486,711,847.87/76,482.61
  6. Step 6: Final answer
    x = 58,663.16

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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.