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Finding the Fourth Proportional to 82,117.20, 123,175.80 and 47,060.40

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Solution

The fourth proportional to 82,117.20, 123,175.80 and 47,060.40 is: 70,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.20 : 123,175.80 = 47,060.40 : x
  2. Step 2: Convert to fraction form
    82,117.20/123,175.80 = 47,060.40/x
  3. Step 3: Cross multiply
    82,117.20x = 123,175.80 × 47,060.40
  4. Step 4: Simplify right side
    82,117.20x = 5,796,702,418.32
  5. Step 5: Solve for x
    x = 5,796,702,418.32/82,117.20
  6. Step 6: Final answer
    x = 70,590.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.