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Finding the Fourth Proportional to 51,460.59, 77,067.65 and 32,681.87

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Solution

The fourth proportional to 51,460.59, 77,067.65 and 32,681.87 is: 48,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.59 : 77,067.65 = 32,681.87 : x
  2. Step 2: Convert to fraction form
    51,460.59/77,067.65 = 32,681.87/x
  3. Step 3: Cross multiply
    51,460.59x = 77,067.65 × 32,681.87
  4. Step 4: Simplify right side
    51,460.59x = 2,518,714,614.87
  5. Step 5: Solve for x
    x = 2,518,714,614.87/51,460.59
  6. Step 6: Final answer
    x = 48,944.53

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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.