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Finding the Fourth Proportional to 65,147.16, 97,884.76 and 41,465.60

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Solution

The fourth proportional to 65,147.16, 97,884.76 and 41,465.60 is: 62,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147.16 : 97,884.76 = 41,465.60 : x
  2. Step 2: Convert to fraction form
    65,147.16/97,884.76 = 41,465.60/x
  3. Step 3: Cross multiply
    65,147.16x = 97,884.76 × 41,465.60
  4. Step 4: Simplify right side
    65,147.16x = 4,058,850,304.26
  5. Step 5: Solve for x
    x = 4,058,850,304.26/65,147.16
  6. Step 6: Final answer
    x = 62,302.80

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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.