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Finding the Fourth Proportional to 65,093.60, 97,849.20 and 60,471.20

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Solution

The fourth proportional to 65,093.60, 97,849.20 and 60,471.20 is: 90,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.60 : 97,849.20 = 60,471.20 : x
  2. Step 2: Convert to fraction form
    65,093.60/97,849.20 = 60,471.20/x
  3. Step 3: Cross multiply
    65,093.60x = 97,849.20 × 60,471.20
  4. Step 4: Simplify right side
    65,093.60x = 5,917,058,543.04
  5. Step 5: Solve for x
    x = 5,917,058,543.04/65,093.60
  6. Step 6: Final answer
    x = 90,900.77

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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.