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Finding the Fourth Proportional to 90,113.76, 124,357.77 and 49,828.23

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Solution

The fourth proportional to 90,113.76, 124,357.77 and 49,828.23 is: 68,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,113.76 : 124,357.77 = 49,828.23 : x
  2. Step 2: Convert to fraction form
    90,113.76/124,357.77 = 49,828.23/x
  3. Step 3: Cross multiply
    90,113.76x = 124,357.77 × 49,828.23
  4. Step 4: Simplify right side
    90,113.76x = 6,196,527,565.85
  5. Step 5: Solve for x
    x = 6,196,527,565.85/90,113.76
  6. Step 6: Final answer
    x = 68,763.39

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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.