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Finding the Fourth Proportional to 77,294.66, 115,985.12 and 41,755.30

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Solution

The fourth proportional to 77,294.66, 115,985.12 and 41,755.30 is: 62,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,294.66 : 115,985.12 = 41,755.30 : x
  2. Step 2: Convert to fraction form
    77,294.66/115,985.12 = 41,755.30/x
  3. Step 3: Cross multiply
    77,294.66x = 115,985.12 × 41,755.30
  4. Step 4: Simplify right side
    77,294.66x = 4,842,992,982.40
  5. Step 5: Solve for x
    x = 4,842,992,982.40/77,294.66
  6. Step 6: Final answer
    x = 62,656.25

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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.