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Finding the Fourth Proportional to 34,978.17, 52,474.76 and 11,287.08

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Solution

The fourth proportional to 34,978.17, 52,474.76 and 11,287.08 is: 16,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.17 : 52,474.76 = 11,287.08 : x
  2. Step 2: Convert to fraction form
    34,978.17/52,474.76 = 11,287.08/x
  3. Step 3: Cross multiply
    34,978.17x = 52,474.76 × 11,287.08
  4. Step 4: Simplify right side
    34,978.17x = 592,286,814.10
  5. Step 5: Solve for x
    x = 592,286,814.10/34,978.17
  6. Step 6: Final answer
    x = 16,933.04

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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.