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Finding the Fourth Proportional to 90,123.12, 124,364.85 and 49,834.47

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Solution

The fourth proportional to 90,123.12, 124,364.85 and 49,834.47 is: 68,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,123.12 : 124,364.85 = 49,834.47 : x
  2. Step 2: Convert to fraction form
    90,123.12/124,364.85 = 49,834.47/x
  3. Step 3: Cross multiply
    90,123.12x = 124,364.85 × 49,834.47
  4. Step 4: Simplify right side
    90,123.12x = 6,197,656,386.38
  5. Step 5: Solve for x
    x = 6,197,656,386.38/90,123.12
  6. Step 6: Final answer
    x = 68,768.77

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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.