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Finding the Fourth Proportional to 37,613, 56,422.92 and 9,911

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Solution

The fourth proportional to 37,613, 56,422.92 and 9,911 is: 14,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,613 : 56,422.92 = 9,911 : x
  2. Step 2: Convert to fraction form
    37,613/56,422.92 = 9,911/x
  3. Step 3: Cross multiply
    37,613x = 56,422.92 × 9,911
  4. Step 4: Simplify right side
    37,613x = 559,207,560.12
  5. Step 5: Solve for x
    x = 559,207,560.12/37,613
  6. Step 6: Final answer
    x = 14,867.40

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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.