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Finding the Fourth Proportional to 82,412.37, 113,713.88 and 48,426.39

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Solution

The fourth proportional to 82,412.37, 113,713.88 and 48,426.39 is: 66,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.37 : 113,713.88 = 48,426.39 : x
  2. Step 2: Convert to fraction form
    82,412.37/113,713.88 = 48,426.39/x
  3. Step 3: Cross multiply
    82,412.37x = 113,713.88 × 48,426.39
  4. Step 4: Simplify right side
    82,412.37x = 5,506,752,459.16
  5. Step 5: Solve for x
    x = 5,506,752,459.16/82,412.37
  6. Step 6: Final answer
    x = 66,819.49

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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.