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Finding the Fourth Proportional to 37,657.98, 51,965.96 and 21,524.67

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Solution

The fourth proportional to 37,657.98, 51,965.96 and 21,524.67 is: 29,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.98 : 51,965.96 = 21,524.67 : x
  2. Step 2: Convert to fraction form
    37,657.98/51,965.96 = 21,524.67/x
  3. Step 3: Cross multiply
    37,657.98x = 51,965.96 × 21,524.67
  4. Step 4: Simplify right side
    37,657.98x = 1,118,550,032.61
  5. Step 5: Solve for x
    x = 1,118,550,032.61/37,657.98
  6. Step 6: Final answer
    x = 29,702.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.