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Finding the Fourth Proportional to 52,785.81, 79,178.78 and 15,849.81

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Solution

The fourth proportional to 52,785.81, 79,178.78 and 15,849.81 is: 23,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785.81 : 79,178.78 = 15,849.81 : x
  2. Step 2: Convert to fraction form
    52,785.81/79,178.78 = 15,849.81/x
  3. Step 3: Cross multiply
    52,785.81x = 79,178.78 × 15,849.81
  4. Step 4: Simplify right side
    52,785.81x = 1,254,968,539.78
  5. Step 5: Solve for x
    x = 1,254,968,539.78/52,785.81
  6. Step 6: Final answer
    x = 23,774.73

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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.