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Finding the Fourth Proportional to 46,229.76, 63,792 and 26,357.76

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Solution

The fourth proportional to 46,229.76, 63,792 and 26,357.76 is: 36,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229.76 : 63,792 = 26,357.76 : x
  2. Step 2: Convert to fraction form
    46,229.76/63,792 = 26,357.76/x
  3. Step 3: Cross multiply
    46,229.76x = 63,792 × 26,357.76
  4. Step 4: Simplify right side
    46,229.76x = 1,681,414,225.92
  5. Step 5: Solve for x
    x = 1,681,414,225.92/46,229.76
  6. Step 6: Final answer
    x = 36,370.82

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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.