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Finding the Fourth Proportional to 51,667.78, 77,514.72 and 14,731.78

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Solution

The fourth proportional to 51,667.78, 77,514.72 and 14,731.78 is: 22,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,667.78 : 77,514.72 = 14,731.78 : x
  2. Step 2: Convert to fraction form
    51,667.78/77,514.72 = 14,731.78/x
  3. Step 3: Cross multiply
    51,667.78x = 77,514.72 × 14,731.78
  4. Step 4: Simplify right side
    51,667.78x = 1,141,929,801.80
  5. Step 5: Solve for x
    x = 1,141,929,801.80/51,667.78
  6. Step 6: Final answer
    x = 22,101.39

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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.