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Finding the Fourth Proportional to 83,358.19, 115,034.30 and 45,632.44

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Solution

The fourth proportional to 83,358.19, 115,034.30 and 45,632.44 is: 62,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,358.19 : 115,034.30 = 45,632.44 : x
  2. Step 2: Convert to fraction form
    83,358.19/115,034.30 = 45,632.44/x
  3. Step 3: Cross multiply
    83,358.19x = 115,034.30 × 45,632.44
  4. Step 4: Simplify right side
    83,358.19x = 5,249,295,619.19
  5. Step 5: Solve for x
    x = 5,249,295,619.19/83,358.19
  6. Step 6: Final answer
    x = 62,972.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.