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Finding the Fourth Proportional to 83,066.64, 114,628.32 and 47,252.40

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Solution

The fourth proportional to 83,066.64, 114,628.32 and 47,252.40 is: 65,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,066.64 : 114,628.32 = 47,252.40 : x
  2. Step 2: Convert to fraction form
    83,066.64/114,628.32 = 47,252.40/x
  3. Step 3: Cross multiply
    83,066.64x = 114,628.32 × 47,252.40
  4. Step 4: Simplify right side
    83,066.64x = 5,416,463,227.97
  5. Step 5: Solve for x
    x = 5,416,463,227.97/83,066.64
  6. Step 6: Final answer
    x = 65,206.24

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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.