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Finding the Fourth Proportional to 24,548, 36,822.38 and 6,080

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Solution

The fourth proportional to 24,548, 36,822.38 and 6,080 is: 9,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548 : 36,822.38 = 6,080 : x
  2. Step 2: Convert to fraction form
    24,548/36,822.38 = 6,080/x
  3. Step 3: Cross multiply
    24,548x = 36,822.38 × 6,080
  4. Step 4: Simplify right side
    24,548x = 223,880,070.40
  5. Step 5: Solve for x
    x = 223,880,070.40/24,548
  6. Step 6: Final answer
    x = 9,120.09

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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.