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Finding the Fourth Proportional to 78,829.71, 118,241.24 and 36,695.31

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Solution

The fourth proportional to 78,829.71, 118,241.24 and 36,695.31 is: 55,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829.71 : 118,241.24 = 36,695.31 : x
  2. Step 2: Convert to fraction form
    78,829.71/118,241.24 = 36,695.31/x
  3. Step 3: Cross multiply
    78,829.71x = 118,241.24 × 36,695.31
  4. Step 4: Simplify right side
    78,829.71x = 4,338,898,773.11
  5. Step 5: Solve for x
    x = 4,338,898,773.11/78,829.71
  6. Step 6: Final answer
    x = 55,041.41

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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.