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Finding the Fourth Proportional to 89,492.78, 123,502.93 and 49,209.46

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Solution

The fourth proportional to 89,492.78, 123,502.93 and 49,209.46 is: 67,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,492.78 : 123,502.93 = 49,209.46 : x
  2. Step 2: Convert to fraction form
    89,492.78/123,502.93 = 49,209.46/x
  3. Step 3: Cross multiply
    89,492.78x = 123,502.93 × 49,209.46
  4. Step 4: Simplify right side
    89,492.78x = 6,077,512,061.94
  5. Step 5: Solve for x
    x = 6,077,512,061.94/89,492.78
  6. Step 6: Final answer
    x = 67,910.64

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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.