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Finding the Fourth Proportional to 83,191.43, 114,804.17 and 45,465.68

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Solution

The fourth proportional to 83,191.43, 114,804.17 and 45,465.68 is: 62,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.43 : 114,804.17 = 45,465.68 : x
  2. Step 2: Convert to fraction form
    83,191.43/114,804.17 = 45,465.68/x
  3. Step 3: Cross multiply
    83,191.43x = 114,804.17 × 45,465.68
  4. Step 4: Simplify right side
    83,191.43x = 5,219,649,886.06
  5. Step 5: Solve for x
    x = 5,219,649,886.06/83,191.43
  6. Step 6: Final answer
    x = 62,742.64

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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.