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Finding the Fourth Proportional to 51,706.98, 77,560.47 and 14,770.98

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Solution

The fourth proportional to 51,706.98, 77,560.47 and 14,770.98 is: 22,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.98 : 77,560.47 = 14,770.98 : x
  2. Step 2: Convert to fraction form
    51,706.98/77,560.47 = 14,770.98/x
  3. Step 3: Cross multiply
    51,706.98x = 77,560.47 × 14,770.98
  4. Step 4: Simplify right side
    51,706.98x = 1,145,644,151.16
  5. Step 5: Solve for x
    x = 1,145,644,151.16/51,706.98
  6. Step 6: Final answer
    x = 22,156.47

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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.