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Finding the Fourth Proportional to 83,281.26, 114,928.29 and 45,555.51

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Solution

The fourth proportional to 83,281.26, 114,928.29 and 45,555.51 is: 62,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.26 : 114,928.29 = 45,555.51 : x
  2. Step 2: Convert to fraction form
    83,281.26/114,928.29 = 45,555.51/x
  3. Step 3: Cross multiply
    83,281.26x = 114,928.29 × 45,555.51
  4. Step 4: Simplify right side
    83,281.26x = 5,235,616,864.38
  5. Step 5: Solve for x
    x = 5,235,616,864.38/83,281.26
  6. Step 6: Final answer
    x = 62,866.69

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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.