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Finding the Fourth Proportional to 65,009.52, 89,712.90 and 35,201.52

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Solution

The fourth proportional to 65,009.52, 89,712.90 and 35,201.52 is: 48,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.52 : 89,712.90 = 35,201.52 : x
  2. Step 2: Convert to fraction form
    65,009.52/89,712.90 = 35,201.52/x
  3. Step 3: Cross multiply
    65,009.52x = 89,712.90 × 35,201.52
  4. Step 4: Simplify right side
    65,009.52x = 3,158,030,443.61
  5. Step 5: Solve for x
    x = 3,158,030,443.61/65,009.52
  6. Step 6: Final answer
    x = 48,577.97

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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.