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Finding the Fourth Proportional to 83,116.26, 114,700.86 and 45,390.51

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Solution

The fourth proportional to 83,116.26, 114,700.86 and 45,390.51 is: 62,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.26 : 114,700.86 = 45,390.51 : x
  2. Step 2: Convert to fraction form
    83,116.26/114,700.86 = 45,390.51/x
  3. Step 3: Cross multiply
    83,116.26x = 114,700.86 × 45,390.51
  4. Step 4: Simplify right side
    83,116.26x = 5,206,330,532.84
  5. Step 5: Solve for x
    x = 5,206,330,532.84/83,116.26
  6. Step 6: Final answer
    x = 62,639.13

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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.