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Finding the Fourth Proportional to 37,484, 56,225.92 and 9,782

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Solution

The fourth proportional to 37,484, 56,225.92 and 9,782 is: 14,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,484 : 56,225.92 = 9,782 : x
  2. Step 2: Convert to fraction form
    37,484/56,225.92 = 9,782/x
  3. Step 3: Cross multiply
    37,484x = 56,225.92 × 9,782
  4. Step 4: Simplify right side
    37,484x = 550,001,949.44
  5. Step 5: Solve for x
    x = 550,001,949.44/37,484
  6. Step 6: Final answer
    x = 14,672.98

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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.