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Finding the Fourth Proportional to 72,943.20, 109,414.80 and 46,677.60

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Solution

The fourth proportional to 72,943.20, 109,414.80 and 46,677.60 is: 70,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,943.20 : 109,414.80 = 46,677.60 : x
  2. Step 2: Convert to fraction form
    72,943.20/109,414.80 = 46,677.60/x
  3. Step 3: Cross multiply
    72,943.20x = 109,414.80 × 46,677.60
  4. Step 4: Simplify right side
    72,943.20x = 5,107,220,268.48
  5. Step 5: Solve for x
    x = 5,107,220,268.48/72,943.20
  6. Step 6: Final answer
    x = 70,016.40

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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.