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Finding the Fourth Proportional to 83,655.37, 115,444.62 and 45,932.05

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Solution

The fourth proportional to 83,655.37, 115,444.62 and 45,932.05 is: 63,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.37 : 115,444.62 = 45,932.05 : x
  2. Step 2: Convert to fraction form
    83,655.37/115,444.62 = 45,932.05/x
  3. Step 3: Cross multiply
    83,655.37x = 115,444.62 × 45,932.05
  4. Step 4: Simplify right side
    83,655.37x = 5,302,608,058.07
  5. Step 5: Solve for x
    x = 5,302,608,058.07/83,655.37
  6. Step 6: Final answer
    x = 63,386.34

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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.