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Finding the Fourth Proportional to 97,987.78, 146,964.66 and 41,859.64

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Solution

The fourth proportional to 97,987.78, 146,964.66 and 41,859.64 is: 62,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,987.78 : 146,964.66 = 41,859.64 : x
  2. Step 2: Convert to fraction form
    97,987.78/146,964.66 = 41,859.64/x
  3. Step 3: Cross multiply
    97,987.78x = 146,964.66 × 41,859.64
  4. Step 4: Simplify right side
    97,987.78x = 6,151,887,760.32
  5. Step 5: Solve for x
    x = 6,151,887,760.32/97,987.78
  6. Step 6: Final answer
    x = 62,782.19

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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.