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Finding the Fourth Proportional to 34,867.54, 52,301.76 and 9,908.20

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Solution

The fourth proportional to 34,867.54, 52,301.76 and 9,908.20 is: 14,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,867.54 : 52,301.76 = 9,908.20 : x
  2. Step 2: Convert to fraction form
    34,867.54/52,301.76 = 9,908.20/x
  3. Step 3: Cross multiply
    34,867.54x = 52,301.76 × 9,908.20
  4. Step 4: Simplify right side
    34,867.54x = 518,216,298.43
  5. Step 5: Solve for x
    x = 518,216,298.43/34,867.54
  6. Step 6: Final answer
    x = 14,862.43

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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.