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Finding the Fourth Proportional to 69,120, 95,385.60 and 39,317.76

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Solution

The fourth proportional to 69,120, 95,385.60 and 39,317.76 is: 54,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,120 : 95,385.60 = 39,317.76 : x
  2. Step 2: Convert to fraction form
    69,120/95,385.60 = 39,317.76/x
  3. Step 3: Cross multiply
    69,120x = 95,385.60 × 39,317.76
  4. Step 4: Simplify right side
    69,120x = 3,750,348,128.26
  5. Step 5: Solve for x
    x = 3,750,348,128.26/69,120
  6. Step 6: Final answer
    x = 54,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.