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Finding the Fourth Proportional to 75,116.50, 112,521.66 and 43,434.16

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Solution

The fourth proportional to 75,116.50, 112,521.66 and 43,434.16 is: 65,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,116.50 : 112,521.66 = 43,434.16 : x
  2. Step 2: Convert to fraction form
    75,116.50/112,521.66 = 43,434.16/x
  3. Step 3: Cross multiply
    75,116.50x = 112,521.66 × 43,434.16
  4. Step 4: Simplify right side
    75,116.50x = 4,887,283,783.91
  5. Step 5: Solve for x
    x = 4,887,283,783.91/75,116.50
  6. Step 6: Final answer
    x = 65,062.72

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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.