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Finding the Fourth Proportional to 37,514, 56,271.54 and 9,812

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Solution

The fourth proportional to 37,514, 56,271.54 and 9,812 is: 14,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,514 : 56,271.54 = 9,812 : x
  2. Step 2: Convert to fraction form
    37,514/56,271.54 = 9,812/x
  3. Step 3: Cross multiply
    37,514x = 56,271.54 × 9,812
  4. Step 4: Simplify right side
    37,514x = 552,136,350.48
  5. Step 5: Solve for x
    x = 552,136,350.48/37,514
  6. Step 6: Final answer
    x = 14,718.14

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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.