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Finding the Fourth Proportional to 82,864.76, 114,354.12 and 47,055.52

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Solution

The fourth proportional to 82,864.76, 114,354.12 and 47,055.52 is: 64,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.76 : 114,354.12 = 47,055.52 : x
  2. Step 2: Convert to fraction form
    82,864.76/114,354.12 = 47,055.52/x
  3. Step 3: Cross multiply
    82,864.76x = 114,354.12 × 47,055.52
  4. Step 4: Simplify right side
    82,864.76x = 5,380,992,580.74
  5. Step 5: Solve for x
    x = 5,380,992,580.74/82,864.76
  6. Step 6: Final answer
    x = 64,937.04

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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.