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Finding the Fourth Proportional to 69,192.40, 103,777.16 and 24,812.40

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Solution

The fourth proportional to 69,192.40, 103,777.16 and 24,812.40 is: 37,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,192.40 : 103,777.16 = 24,812.40 : x
  2. Step 2: Convert to fraction form
    69,192.40/103,777.16 = 24,812.40/x
  3. Step 3: Cross multiply
    69,192.40x = 103,777.16 × 24,812.40
  4. Step 4: Simplify right side
    69,192.40x = 2,574,960,404.78
  5. Step 5: Solve for x
    x = 2,574,960,404.78/69,192.40
  6. Step 6: Final answer
    x = 37,214.50

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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.