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Finding the Fourth Proportional to 51,462.70, 77,114.35 and 35,698.39

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Solution

The fourth proportional to 51,462.70, 77,114.35 and 35,698.39 is: 53,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.70 : 77,114.35 = 35,698.39 : x
  2. Step 2: Convert to fraction form
    51,462.70/77,114.35 = 35,698.39/x
  3. Step 3: Cross multiply
    51,462.70x = 77,114.35 × 35,698.39
  4. Step 4: Simplify right side
    51,462.70x = 2,752,857,992.73
  5. Step 5: Solve for x
    x = 2,752,857,992.73/51,462.70
  6. Step 6: Final answer
    x = 53,492.30

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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.