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Finding the Fourth Proportional to 37,697, 56,545.50 and 11,401.16

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Solution

The fourth proportional to 37,697, 56,545.50 and 11,401.16 is: 17,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697 : 56,545.50 = 11,401.16 : x
  2. Step 2: Convert to fraction form
    37,697/56,545.50 = 11,401.16/x
  3. Step 3: Cross multiply
    37,697x = 56,545.50 × 11,401.16
  4. Step 4: Simplify right side
    37,697x = 644,684,292.78
  5. Step 5: Solve for x
    x = 644,684,292.78/37,697
  6. Step 6: Final answer
    x = 17,101.74

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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.