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Finding the Fourth Proportional to 78,480.80, 117,567.60 and 47,223.20

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Solution

The fourth proportional to 78,480.80, 117,567.60 and 47,223.20 is: 70,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.80 : 117,567.60 = 47,223.20 : x
  2. Step 2: Convert to fraction form
    78,480.80/117,567.60 = 47,223.20/x
  3. Step 3: Cross multiply
    78,480.80x = 117,567.60 × 47,223.20
  4. Step 4: Simplify right side
    78,480.80x = 5,551,918,288.32
  5. Step 5: Solve for x
    x = 5,551,918,288.32/78,480.80
  6. Step 6: Final answer
    x = 70,742.38

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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.