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Finding the Fourth Proportional to 76,502.12, 105,572.21 and 42,510.65

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Solution

The fourth proportional to 76,502.12, 105,572.21 and 42,510.65 is: 58,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502.12 : 105,572.21 = 42,510.65 : x
  2. Step 2: Convert to fraction form
    76,502.12/105,572.21 = 42,510.65/x
  3. Step 3: Cross multiply
    76,502.12x = 105,572.21 × 42,510.65
  4. Step 4: Simplify right side
    76,502.12x = 4,487,942,528.62
  5. Step 5: Solve for x
    x = 4,487,942,528.62/76,502.12
  6. Step 6: Final answer
    x = 58,664.29

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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.