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Finding the Fourth Proportional to 54,828.60, 82,275.30 and 40,000.20

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Solution

The fourth proportional to 54,828.60, 82,275.30 and 40,000.20 is: 60,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828.60 : 82,275.30 = 40,000.20 : x
  2. Step 2: Convert to fraction form
    54,828.60/82,275.30 = 40,000.20/x
  3. Step 3: Cross multiply
    54,828.60x = 82,275.30 × 40,000.20
  4. Step 4: Simplify right side
    54,828.60x = 3,291,028,455.06
  5. Step 5: Solve for x
    x = 3,291,028,455.06/54,828.60
  6. Step 6: Final answer
    x = 60,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.