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Finding the Fourth Proportional to 89,784.70, 123,902.38 and 49,498.32

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Solution

The fourth proportional to 89,784.70, 123,902.38 and 49,498.32 is: 68,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,784.70 : 123,902.38 = 49,498.32 : x
  2. Step 2: Convert to fraction form
    89,784.70/123,902.38 = 49,498.32/x
  3. Step 3: Cross multiply
    89,784.70x = 123,902.38 × 49,498.32
  4. Step 4: Simplify right side
    89,784.70x = 6,132,959,654.00
  5. Step 5: Solve for x
    x = 6,132,959,654.00/89,784.70
  6. Step 6: Final answer
    x = 68,307.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.