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Finding the Fourth Proportional to 52,460.86, 78,700.01 and 20,871.24

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Solution

The fourth proportional to 52,460.86, 78,700.01 and 20,871.24 is: 31,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,460.86 : 78,700.01 = 20,871.24 : x
  2. Step 2: Convert to fraction form
    52,460.86/78,700.01 = 20,871.24/x
  3. Step 3: Cross multiply
    52,460.86x = 78,700.01 × 20,871.24
  4. Step 4: Simplify right side
    52,460.86x = 1,642,566,796.71
  5. Step 5: Solve for x
    x = 1,642,566,796.71/52,460.86
  6. Step 6: Final answer
    x = 31,310.33

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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.