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Finding the Fourth Proportional to 76,578.79, 114,853.04 and 72,781.26

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Solution

The fourth proportional to 76,578.79, 114,853.04 and 72,781.26 is: 109,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.79 : 114,853.04 = 72,781.26 : x
  2. Step 2: Convert to fraction form
    76,578.79/114,853.04 = 72,781.26/x
  3. Step 3: Cross multiply
    76,578.79x = 114,853.04 × 72,781.26
  4. Step 4: Simplify right side
    76,578.79x = 8,359,148,966.03
  5. Step 5: Solve for x
    x = 8,359,148,966.03/76,578.79
  6. Step 6: Final answer
    x = 109,157.50

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Why These Related Problems?

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