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Finding the Fourth Proportional to 83,655.62, 115,444.96 and 45,932.30

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Solution

The fourth proportional to 83,655.62, 115,444.96 and 45,932.30 is: 63,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.62 : 115,444.96 = 45,932.30 : x
  2. Step 2: Convert to fraction form
    83,655.62/115,444.96 = 45,932.30/x
  3. Step 3: Cross multiply
    83,655.62x = 115,444.96 × 45,932.30
  4. Step 4: Simplify right side
    83,655.62x = 5,302,652,536.21
  5. Step 5: Solve for x
    x = 5,302,652,536.21/83,655.62
  6. Step 6: Final answer
    x = 63,386.69

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1.5x scale

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.