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Finding the Fourth Proportional to 83,766.74, 115,600.29 and 46,041.98

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Solution

The fourth proportional to 83,766.74, 115,600.29 and 46,041.98 is: 63,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766.74 : 115,600.29 = 46,041.98 : x
  2. Step 2: Convert to fraction form
    83,766.74/115,600.29 = 46,041.98/x
  3. Step 3: Cross multiply
    83,766.74x = 115,600.29 × 46,041.98
  4. Step 4: Simplify right side
    83,766.74x = 5,322,466,240.17
  5. Step 5: Solve for x
    x = 5,322,466,240.17/83,766.74
  6. Step 6: Final answer
    x = 63,539.14

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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.