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Finding the Fourth Proportional to 82,407.47, 113,740.88 and 48,426.88

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Solution

The fourth proportional to 82,407.47, 113,740.88 and 48,426.88 is: 66,840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.47 : 113,740.88 = 48,426.88 : x
  2. Step 2: Convert to fraction form
    82,407.47/113,740.88 = 48,426.88/x
  3. Step 3: Cross multiply
    82,407.47x = 113,740.88 × 48,426.88
  4. Step 4: Simplify right side
    82,407.47x = 5,508,115,946.85
  5. Step 5: Solve for x
    x = 5,508,115,946.85/82,407.47
  6. Step 6: Final answer
    x = 66,840.01

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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.