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Finding the Fourth Proportional to 24,833.40, 37,152.90 and 16,085.40

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Solution

The fourth proportional to 24,833.40, 37,152.90 and 16,085.40 is: 24,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.40 : 37,152.90 = 16,085.40 : x
  2. Step 2: Convert to fraction form
    24,833.40/37,152.90 = 16,085.40/x
  3. Step 3: Cross multiply
    24,833.40x = 37,152.90 × 16,085.40
  4. Step 4: Simplify right side
    24,833.40x = 597,619,257.66
  5. Step 5: Solve for x
    x = 597,619,257.66/24,833.40
  6. Step 6: Final answer
    x = 24,065.14

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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.