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Finding the Fourth Proportional to 74,947.20, 112,406.40 and 22,358.40

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Solution

The fourth proportional to 74,947.20, 112,406.40 and 22,358.40 is: 33,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,947.20 : 112,406.40 = 22,358.40 : x
  2. Step 2: Convert to fraction form
    74,947.20/112,406.40 = 22,358.40/x
  3. Step 3: Cross multiply
    74,947.20x = 112,406.40 × 22,358.40
  4. Step 4: Simplify right side
    74,947.20x = 2,513,227,253.76
  5. Step 5: Solve for x
    x = 2,513,227,253.76/74,947.20
  6. Step 6: Final answer
    x = 33,533.30

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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.