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Finding the Fourth Proportional to 65,141.65, 97,876.50 and 41,460.09

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Solution

The fourth proportional to 65,141.65, 97,876.50 and 41,460.09 is: 62,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.65 : 97,876.50 = 41,460.09 : x
  2. Step 2: Convert to fraction form
    65,141.65/97,876.50 = 41,460.09/x
  3. Step 3: Cross multiply
    65,141.65x = 97,876.50 × 41,460.09
  4. Step 4: Simplify right side
    65,141.65x = 4,057,968,498.89
  5. Step 5: Solve for x
    x = 4,057,968,498.89/65,141.65
  6. Step 6: Final answer
    x = 62,294.53

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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.