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Finding the Fourth Proportional to 83,066.40, 114,627.60 and 45,338.40

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Solution

The fourth proportional to 83,066.40, 114,627.60 and 45,338.40 is: 62,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,066.40 : 114,627.60 = 45,338.40 : x
  2. Step 2: Convert to fraction form
    83,066.40/114,627.60 = 45,338.40/x
  3. Step 3: Cross multiply
    83,066.40x = 114,627.60 × 45,338.40
  4. Step 4: Simplify right side
    83,066.40x = 5,197,031,979.84
  5. Step 5: Solve for x
    x = 5,197,031,979.84/83,066.40
  6. Step 6: Final answer
    x = 62,564.79

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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.