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Finding the Fourth Proportional to 48,769.40, 73,129.80 and 22,444.40

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Solution

The fourth proportional to 48,769.40, 73,129.80 and 22,444.40 is: 33,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769.40 : 73,129.80 = 22,444.40 : x
  2. Step 2: Convert to fraction form
    48,769.40/73,129.80 = 22,444.40/x
  3. Step 3: Cross multiply
    48,769.40x = 73,129.80 × 22,444.40
  4. Step 4: Simplify right side
    48,769.40x = 1,641,354,483.12
  5. Step 5: Solve for x
    x = 1,641,354,483.12/48,769.40
  6. Step 6: Final answer
    x = 33,655.42

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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.