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Finding the Fourth Proportional to 34,145.60, 51,218.40 and 24,814.40

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Solution

The fourth proportional to 34,145.60, 51,218.40 and 24,814.40 is: 37,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145.60 : 51,218.40 = 24,814.40 : x
  2. Step 2: Convert to fraction form
    34,145.60/51,218.40 = 24,814.40/x
  3. Step 3: Cross multiply
    34,145.60x = 51,218.40 × 24,814.40
  4. Step 4: Simplify right side
    34,145.60x = 1,270,953,864.96
  5. Step 5: Solve for x
    x = 1,270,953,864.96/34,145.60
  6. Step 6: Final answer
    x = 37,221.60

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