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Finding the Fourth Proportional to 52,648, 78,984.48 and 15,712.96

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Solution

The fourth proportional to 52,648, 78,984.48 and 15,712.96 is: 23,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648 : 78,984.48 = 15,712.96 : x
  2. Step 2: Convert to fraction form
    52,648/78,984.48 = 15,712.96/x
  3. Step 3: Cross multiply
    52,648x = 78,984.48 × 15,712.96
  4. Step 4: Simplify right side
    52,648x = 1,241,079,974.86
  5. Step 5: Solve for x
    x = 1,241,079,974.86/52,648
  6. Step 6: Final answer
    x = 23,573.16

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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.