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Finding the Fourth Proportional to 65,251.69, 97,878.10 and 25,808.79

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Solution

The fourth proportional to 65,251.69, 97,878.10 and 25,808.79 is: 38,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.69 : 97,878.10 = 25,808.79 : x
  2. Step 2: Convert to fraction form
    65,251.69/97,878.10 = 25,808.79/x
  3. Step 3: Cross multiply
    65,251.69x = 97,878.10 × 25,808.79
  4. Step 4: Simplify right side
    65,251.69x = 2,526,115,328.50
  5. Step 5: Solve for x
    x = 2,526,115,328.50/65,251.69
  6. Step 6: Final answer
    x = 38,713.41

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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.