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Finding the Fourth Proportional to 75,266.16, 103,863.24 and 41,730

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Solution

The fourth proportional to 75,266.16, 103,863.24 and 41,730 is: 57,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,266.16 : 103,863.24 = 41,730 : x
  2. Step 2: Convert to fraction form
    75,266.16/103,863.24 = 41,730/x
  3. Step 3: Cross multiply
    75,266.16x = 103,863.24 × 41,730
  4. Step 4: Simplify right side
    75,266.16x = 4,334,213,005.20
  5. Step 5: Solve for x
    x = 4,334,213,005.20/75,266.16
  6. Step 6: Final answer
    x = 57,585.15

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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.