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Finding the Fourth Proportional to 65,225.20, 97,837.80 and 30,233.20

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Solution

The fourth proportional to 65,225.20, 97,837.80 and 30,233.20 is: 45,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.20 : 97,837.80 = 30,233.20 : x
  2. Step 2: Convert to fraction form
    65,225.20/97,837.80 = 30,233.20/x
  3. Step 3: Cross multiply
    65,225.20x = 97,837.80 × 30,233.20
  4. Step 4: Simplify right side
    65,225.20x = 2,957,949,774.96
  5. Step 5: Solve for x
    x = 2,957,949,774.96/65,225.20
  6. Step 6: Final answer
    x = 45,349.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.