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Finding the Fourth Proportional to 83,569.04, 115,333.16 and 47,752.11

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Solution

The fourth proportional to 83,569.04, 115,333.16 and 47,752.11 is: 65,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,569.04 : 115,333.16 = 47,752.11 : x
  2. Step 2: Convert to fraction form
    83,569.04/115,333.16 = 47,752.11/x
  3. Step 3: Cross multiply
    83,569.04x = 115,333.16 × 47,752.11
  4. Step 4: Simplify right side
    83,569.04x = 5,507,401,742.97
  5. Step 5: Solve for x
    x = 5,507,401,742.97/83,569.04
  6. Step 6: Final answer
    x = 65,902.42

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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.