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Finding the Fourth Proportional to 24,671.53, 37,007.75 and 8,031.50

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Solution

The fourth proportional to 24,671.53, 37,007.75 and 8,031.50 is: 12,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.53 : 37,007.75 = 8,031.50 : x
  2. Step 2: Convert to fraction form
    24,671.53/37,007.75 = 8,031.50/x
  3. Step 3: Cross multiply
    24,671.53x = 37,007.75 × 8,031.50
  4. Step 4: Simplify right side
    24,671.53x = 297,227,744.13
  5. Step 5: Solve for x
    x = 297,227,744.13/24,671.53
  6. Step 6: Final answer
    x = 12,047.40

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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.