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Finding the Fourth Proportional to 52,005.56, 71,767.59 and 28,132.16

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Solution

The fourth proportional to 52,005.56, 71,767.59 and 28,132.16 is: 38,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.56 : 71,767.59 = 28,132.16 : x
  2. Step 2: Convert to fraction form
    52,005.56/71,767.59 = 28,132.16/x
  3. Step 3: Cross multiply
    52,005.56x = 71,767.59 × 28,132.16
  4. Step 4: Simplify right side
    52,005.56x = 2,018,977,324.69
  5. Step 5: Solve for x
    x = 2,018,977,324.69/52,005.56
  6. Step 6: Final answer
    x = 38,822.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.