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Finding the Fourth Proportional to 65,043.20, 97,564.80 and 15,795.20

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Solution

The fourth proportional to 65,043.20, 97,564.80 and 15,795.20 is: 23,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.20 : 97,564.80 = 15,795.20 : x
  2. Step 2: Convert to fraction form
    65,043.20/97,564.80 = 15,795.20/x
  3. Step 3: Cross multiply
    65,043.20x = 97,564.80 × 15,795.20
  4. Step 4: Simplify right side
    65,043.20x = 1,541,055,041.14
  5. Step 5: Solve for x
    x = 1,541,055,041.14/65,043.20
  6. Step 6: Final answer
    x = 23,692.79

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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.