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Finding the Fourth Proportional to 65,222.32, 97,778.22 and 25,807.24

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Solution

The fourth proportional to 65,222.32, 97,778.22 and 25,807.24 is: 38,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.32 : 97,778.22 = 25,807.24 : x
  2. Step 2: Convert to fraction form
    65,222.32/97,778.22 = 25,807.24/x
  3. Step 3: Cross multiply
    65,222.32x = 97,778.22 × 25,807.24
  4. Step 4: Simplify right side
    65,222.32x = 2,523,385,990.31
  5. Step 5: Solve for x
    x = 2,523,385,990.31/65,222.32
  6. Step 6: Final answer
    x = 38,688.99

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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.