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Finding the Fourth Proportional to 75,356.10, 113,055.15 and 61,447.47

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Solution

The fourth proportional to 75,356.10, 113,055.15 and 61,447.47 is: 92,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356.10 : 113,055.15 = 61,447.47 : x
  2. Step 2: Convert to fraction form
    75,356.10/113,055.15 = 61,447.47/x
  3. Step 3: Cross multiply
    75,356.10x = 113,055.15 × 61,447.47
  4. Step 4: Simplify right side
    75,356.10x = 6,946,952,937.97
  5. Step 5: Solve for x
    x = 6,946,952,937.97/75,356.10
  6. Step 6: Final answer
    x = 92,188.33

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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.