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Finding the Fourth Proportional to 51,773.84, 77,657.96 and 16,713.50

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Solution

The fourth proportional to 51,773.84, 77,657.96 and 16,713.50 is: 25,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.84 : 77,657.96 = 16,713.50 : x
  2. Step 2: Convert to fraction form
    51,773.84/77,657.96 = 16,713.50/x
  3. Step 3: Cross multiply
    51,773.84x = 77,657.96 × 16,713.50
  4. Step 4: Simplify right side
    51,773.84x = 1,297,936,314.46
  5. Step 5: Solve for x
    x = 1,297,936,314.46/51,773.84
  6. Step 6: Final answer
    x = 25,069.35

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1.5x scale

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.