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Finding the Fourth Proportional to 24,795, 37,192.50 and 15,567.48

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Solution

The fourth proportional to 24,795, 37,192.50 and 15,567.48 is: 23,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,795 : 37,192.50 = 15,567.48 : x
  2. Step 2: Convert to fraction form
    24,795/37,192.50 = 15,567.48/x
  3. Step 3: Cross multiply
    24,795x = 37,192.50 × 15,567.48
  4. Step 4: Simplify right side
    24,795x = 578,993,499.90
  5. Step 5: Solve for x
    x = 578,993,499.90/24,795
  6. Step 6: Final answer
    x = 23,351.22

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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.