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Finding the Fourth Proportional to 75,261.92, 112,883.64 and 43,689.14

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Solution

The fourth proportional to 75,261.92, 112,883.64 and 43,689.14 is: 65,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261.92 : 112,883.64 = 43,689.14 : x
  2. Step 2: Convert to fraction form
    75,261.92/112,883.64 = 43,689.14/x
  3. Step 3: Cross multiply
    75,261.92x = 112,883.64 × 43,689.14
  4. Step 4: Simplify right side
    75,261.92x = 4,931,789,151.67
  5. Step 5: Solve for x
    x = 4,931,789,151.67/75,261.92
  6. Step 6: Final answer
    x = 65,528.35

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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.