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Finding the Fourth Proportional to 47,200.38, 70,800.56 and 19,499.10

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Solution

The fourth proportional to 47,200.38, 70,800.56 and 19,499.10 is: 29,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.38 : 70,800.56 = 19,499.10 : x
  2. Step 2: Convert to fraction form
    47,200.38/70,800.56 = 19,499.10/x
  3. Step 3: Cross multiply
    47,200.38x = 70,800.56 × 19,499.10
  4. Step 4: Simplify right side
    47,200.38x = 1,380,547,199.50
  5. Step 5: Solve for x
    x = 1,380,547,199.50/47,200.38
  6. Step 6: Final answer
    x = 29,248.65

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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.