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Finding the Fourth Proportional to 52,513.76, 78,753.60 and 17,444

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Solution

The fourth proportional to 52,513.76, 78,753.60 and 17,444 is: 26,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513.76 : 78,753.60 = 17,444 : x
  2. Step 2: Convert to fraction form
    52,513.76/78,753.60 = 17,444/x
  3. Step 3: Cross multiply
    52,513.76x = 78,753.60 × 17,444
  4. Step 4: Simplify right side
    52,513.76x = 1,373,777,798.40
  5. Step 5: Solve for x
    x = 1,373,777,798.40/52,513.76
  6. Step 6: Final answer
    x = 26,160.34

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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.