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Finding the Fourth Proportional to 65,102.12, 89,803.55 and 38,239.68

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Solution

The fourth proportional to 65,102.12, 89,803.55 and 38,239.68 is: 52,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.12 : 89,803.55 = 38,239.68 : x
  2. Step 2: Convert to fraction form
    65,102.12/89,803.55 = 38,239.68/x
  3. Step 3: Cross multiply
    65,102.12x = 89,803.55 × 38,239.68
  4. Step 4: Simplify right side
    65,102.12x = 3,434,059,014.86
  5. Step 5: Solve for x
    x = 3,434,059,014.86/65,102.12
  6. Step 6: Final answer
    x = 52,748.80

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