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Finding the Fourth Proportional to 44,616, 61,570.80 and 24,744

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Solution

The fourth proportional to 44,616, 61,570.80 and 24,744 is: 34,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,616 : 61,570.80 = 24,744 : x
  2. Step 2: Convert to fraction form
    44,616/61,570.80 = 24,744/x
  3. Step 3: Cross multiply
    44,616x = 61,570.80 × 24,744
  4. Step 4: Simplify right side
    44,616x = 1,523,507,875.20
  5. Step 5: Solve for x
    x = 1,523,507,875.20/44,616
  6. Step 6: Final answer
    x = 34,147.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.