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Finding the Fourth Proportional to 51,923, 77,897.46 and 14,987

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Solution

The fourth proportional to 51,923, 77,897.46 and 14,987 is: 22,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,923 : 77,897.46 = 14,987 : x
  2. Step 2: Convert to fraction form
    51,923/77,897.46 = 14,987/x
  3. Step 3: Cross multiply
    51,923x = 77,897.46 × 14,987
  4. Step 4: Simplify right side
    51,923x = 1,167,449,233.02
  5. Step 5: Solve for x
    x = 1,167,449,233.02/51,923
  6. Step 6: Final answer
    x = 22,484.24

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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.