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Finding the Fourth Proportional to 82,273.60, 123,410.40 and 47,281.60

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Solution

The fourth proportional to 82,273.60, 123,410.40 and 47,281.60 is: 70,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,273.60 : 123,410.40 = 47,281.60 : x
  2. Step 2: Convert to fraction form
    82,273.60/123,410.40 = 47,281.60/x
  3. Step 3: Cross multiply
    82,273.60x = 123,410.40 × 47,281.60
  4. Step 4: Simplify right side
    82,273.60x = 5,835,041,168.64
  5. Step 5: Solve for x
    x = 5,835,041,168.64/82,273.60
  6. Step 6: Final answer
    x = 70,922.40

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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.