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Finding the Fourth Proportional to 83,358.97, 115,035.38 and 45,633.22

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Solution

The fourth proportional to 83,358.97, 115,035.38 and 45,633.22 is: 62,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,358.97 : 115,035.38 = 45,633.22 : x
  2. Step 2: Convert to fraction form
    83,358.97/115,035.38 = 45,633.22/x
  3. Step 3: Cross multiply
    83,358.97x = 115,035.38 × 45,633.22
  4. Step 4: Simplify right side
    83,358.97x = 5,249,434,803.32
  5. Step 5: Solve for x
    x = 5,249,434,803.32/83,358.97
  6. Step 6: Final answer
    x = 62,973.84

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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.