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Finding the Fourth Proportional to 78,969.26, 118,454.01 and 23,565.26

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Solution

The fourth proportional to 78,969.26, 118,454.01 and 23,565.26 is: 35,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,969.26 : 118,454.01 = 23,565.26 : x
  2. Step 2: Convert to fraction form
    78,969.26/118,454.01 = 23,565.26/x
  3. Step 3: Cross multiply
    78,969.26x = 118,454.01 × 23,565.26
  4. Step 4: Simplify right side
    78,969.26x = 2,791,399,543.69
  5. Step 5: Solve for x
    x = 2,791,399,543.69/78,969.26
  6. Step 6: Final answer
    x = 35,347.93

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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.