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Finding the Fourth Proportional to 83,598.72, 115,362.24 and 45,872.16

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Solution

The fourth proportional to 83,598.72, 115,362.24 and 45,872.16 is: 63,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,598.72 : 115,362.24 = 45,872.16 : x
  2. Step 2: Convert to fraction form
    83,598.72/115,362.24 = 45,872.16/x
  3. Step 3: Cross multiply
    83,598.72x = 115,362.24 × 45,872.16
  4. Step 4: Simplify right side
    83,598.72x = 5,291,915,131.24
  5. Step 5: Solve for x
    x = 5,291,915,131.24/83,598.72
  6. Step 6: Final answer
    x = 63,301.39

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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.