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Finding the Fourth Proportional to 83,214.96, 114,837.64 and 45,489.20

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Solution

The fourth proportional to 83,214.96, 114,837.64 and 45,489.20 is: 62,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.96 : 114,837.64 = 45,489.20 : x
  2. Step 2: Convert to fraction form
    83,214.96/114,837.64 = 45,489.20/x
  3. Step 3: Cross multiply
    83,214.96x = 114,837.64 × 45,489.20
  4. Step 4: Simplify right side
    83,214.96x = 5,223,872,373.49
  5. Step 5: Solve for x
    x = 5,223,872,373.49/83,214.96
  6. Step 6: Final answer
    x = 62,775.64

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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.