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Finding the Fourth Proportional to 83,235.47, 124,631.78 and 65,042.37

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Solution

The fourth proportional to 83,235.47, 124,631.78 and 65,042.37 is: 97,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.47 : 124,631.78 = 65,042.37 : x
  2. Step 2: Convert to fraction form
    83,235.47/124,631.78 = 65,042.37/x
  3. Step 3: Cross multiply
    83,235.47x = 124,631.78 × 65,042.37
  4. Step 4: Simplify right side
    83,235.47x = 8,106,346,023.31
  5. Step 5: Solve for x
    x = 8,106,346,023.31/83,235.47
  6. Step 6: Final answer
    x = 97,390.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.