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Finding the Fourth Proportional to 52,984.48, 79,478.64 and 16,047.52

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Solution

The fourth proportional to 52,984.48, 79,478.64 and 16,047.52 is: 24,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984.48 : 79,478.64 = 16,047.52 : x
  2. Step 2: Convert to fraction form
    52,984.48/79,478.64 = 16,047.52/x
  3. Step 3: Cross multiply
    52,984.48x = 79,478.64 × 16,047.52
  4. Step 4: Simplify right side
    52,984.48x = 1,275,435,064.97
  5. Step 5: Solve for x
    x = 1,275,435,064.97/52,984.48
  6. Step 6: Final answer
    x = 24,071.86

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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.