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Finding the Fourth Proportional to 83,055, 114,619.06 and 47,248.28

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Solution

The fourth proportional to 83,055, 114,619.06 and 47,248.28 is: 65,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055 : 114,619.06 = 47,248.28 : x
  2. Step 2: Convert to fraction form
    83,055/114,619.06 = 47,248.28/x
  3. Step 3: Cross multiply
    83,055x = 114,619.06 × 47,248.28
  4. Step 4: Simplify right side
    83,055x = 5,415,553,440.22
  5. Step 5: Solve for x
    x = 5,415,553,440.22/83,055
  6. Step 6: Final answer
    x = 65,204.42

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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.