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Finding the Fourth Proportional to 78,565.82, 117,834.54 and 33,612.50

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Solution

The fourth proportional to 78,565.82, 117,834.54 and 33,612.50 is: 50,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.82 : 117,834.54 = 33,612.50 : x
  2. Step 2: Convert to fraction form
    78,565.82/117,834.54 = 33,612.50/x
  3. Step 3: Cross multiply
    78,565.82x = 117,834.54 × 33,612.50
  4. Step 4: Simplify right side
    78,565.82x = 3,960,713,475.75
  5. Step 5: Solve for x
    x = 3,960,713,475.75/78,565.82
  6. Step 6: Final answer
    x = 50,412.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.