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Finding the Fourth Proportional to 34,967.95, 52,471.13 and 16,499.47

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Solution

The fourth proportional to 34,967.95, 52,471.13 and 16,499.47 is: 24,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,967.95 : 52,471.13 = 16,499.47 : x
  2. Step 2: Convert to fraction form
    34,967.95/52,471.13 = 16,499.47/x
  3. Step 3: Cross multiply
    34,967.95x = 52,471.13 × 16,499.47
  4. Step 4: Simplify right side
    34,967.95x = 865,745,835.30
  5. Step 5: Solve for x
    x = 865,745,835.30/34,967.95
  6. Step 6: Final answer
    x = 24,758.27

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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.