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Finding the Fourth Proportional to 76,585.30, 105,685.86 and 42,593.68

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Solution

The fourth proportional to 76,585.30, 105,685.86 and 42,593.68 is: 58,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,585.30 : 105,685.86 = 42,593.68 : x
  2. Step 2: Convert to fraction form
    76,585.30/105,685.86 = 42,593.68/x
  3. Step 3: Cross multiply
    76,585.30x = 105,685.86 × 42,593.68
  4. Step 4: Simplify right side
    76,585.30x = 4,501,549,993.20
  5. Step 5: Solve for x
    x = 4,501,549,993.20/76,585.30
  6. Step 6: Final answer
    x = 58,778.25

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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.