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Finding the Fourth Proportional to 64,858.19, 97,324.80 and 27,415.84

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Solution

The fourth proportional to 64,858.19, 97,324.80 and 27,415.84 is: 41,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858.19 : 97,324.80 = 27,415.84 : x
  2. Step 2: Convert to fraction form
    64,858.19/97,324.80 = 27,415.84/x
  3. Step 3: Cross multiply
    64,858.19x = 97,324.80 × 27,415.84
  4. Step 4: Simplify right side
    64,858.19x = 2,668,241,144.83
  5. Step 5: Solve for x
    x = 2,668,241,144.83/64,858.19
  6. Step 6: Final answer
    x = 41,139.62

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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.