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Finding the Fourth Proportional to 77,875.61, 107,468.38 and 42,065.62

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Solution

The fourth proportional to 77,875.61, 107,468.38 and 42,065.62 is: 58,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,875.61 : 107,468.38 = 42,065.62 : x
  2. Step 2: Convert to fraction form
    77,875.61/107,468.38 = 42,065.62/x
  3. Step 3: Cross multiply
    77,875.61x = 107,468.38 × 42,065.62
  4. Step 4: Simplify right side
    77,875.61x = 4,520,724,035.10
  5. Step 5: Solve for x
    x = 4,520,724,035.10/77,875.61
  6. Step 6: Final answer
    x = 58,050.58

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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.