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Finding the Fourth Proportional to 97,164.48, 145,718.80 and 41,017.20

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Solution

The fourth proportional to 97,164.48, 145,718.80 and 41,017.20 is: 61,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164.48 : 145,718.80 = 41,017.20 : x
  2. Step 2: Convert to fraction form
    97,164.48/145,718.80 = 41,017.20/x
  3. Step 3: Cross multiply
    97,164.48x = 145,718.80 × 41,017.20
  4. Step 4: Simplify right side
    97,164.48x = 5,976,977,163.36
  5. Step 5: Solve for x
    x = 5,976,977,163.36/97,164.48
  6. Step 6: Final answer
    x = 61,514.01

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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.