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Finding the Fourth Proportional to 65,142.65, 97,878 and 41,461.09

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Solution

The fourth proportional to 65,142.65, 97,878 and 41,461.09 is: 62,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.65 : 97,878 = 41,461.09 : x
  2. Step 2: Convert to fraction form
    65,142.65/97,878 = 41,461.09/x
  3. Step 3: Cross multiply
    65,142.65x = 97,878 × 41,461.09
  4. Step 4: Simplify right side
    65,142.65x = 4,058,128,567.02
  5. Step 5: Solve for x
    x = 4,058,128,567.02/65,142.65
  6. Step 6: Final answer
    x = 62,296.03

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Why These Related Problems?

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