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Finding the Fourth Proportional to 24,783, 37,174.50 and 15,555.48

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Solution

The fourth proportional to 24,783, 37,174.50 and 15,555.48 is: 23,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783 : 37,174.50 = 15,555.48 : x
  2. Step 2: Convert to fraction form
    24,783/37,174.50 = 15,555.48/x
  3. Step 3: Cross multiply
    24,783x = 37,174.50 × 15,555.48
  4. Step 4: Simplify right side
    24,783x = 578,267,191.26
  5. Step 5: Solve for x
    x = 578,267,191.26/24,783
  6. Step 6: Final answer
    x = 23,333.22

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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.