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Finding the Fourth Proportional to 74,184.80, 111,363.60 and 47,998.40

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Solution

The fourth proportional to 74,184.80, 111,363.60 and 47,998.40 is: 72,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184.80 : 111,363.60 = 47,998.40 : x
  2. Step 2: Convert to fraction form
    74,184.80/111,363.60 = 47,998.40/x
  3. Step 3: Cross multiply
    74,184.80x = 111,363.60 × 47,998.40
  4. Step 4: Simplify right side
    74,184.80x = 5,345,274,618.24
  5. Step 5: Solve for x
    x = 5,345,274,618.24/74,184.80
  6. Step 6: Final answer
    x = 72,053.50

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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.