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Finding the Fourth Proportional to 83,275.80, 124,901.16 and 30,672.96

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Solution

The fourth proportional to 83,275.80, 124,901.16 and 30,672.96 is: 46,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.80 : 124,901.16 = 30,672.96 : x
  2. Step 2: Convert to fraction form
    83,275.80/124,901.16 = 30,672.96/x
  3. Step 3: Cross multiply
    83,275.80x = 124,901.16 × 30,672.96
  4. Step 4: Simplify right side
    83,275.80x = 3,831,088,284.63
  5. Step 5: Solve for x
    x = 3,831,088,284.63/83,275.80
  6. Step 6: Final answer
    x = 46,004.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.