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Finding the Fourth Proportional to 49,098.34, 67,756.17 and 27,878.08

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Solution

The fourth proportional to 49,098.34, 67,756.17 and 27,878.08 is: 38,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098.34 : 67,756.17 = 27,878.08 : x
  2. Step 2: Convert to fraction form
    49,098.34/67,756.17 = 27,878.08/x
  3. Step 3: Cross multiply
    49,098.34x = 67,756.17 × 27,878.08
  4. Step 4: Simplify right side
    49,098.34x = 1,888,911,927.75
  5. Step 5: Solve for x
    x = 1,888,911,927.75/49,098.34
  6. Step 6: Final answer
    x = 38,472.01

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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.