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Finding the Fourth Proportional to 65,002.28, 97,484.10 and 27,561.80

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Solution

The fourth proportional to 65,002.28, 97,484.10 and 27,561.80 is: 41,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.28 : 97,484.10 = 27,561.80 : x
  2. Step 2: Convert to fraction form
    65,002.28/97,484.10 = 27,561.80/x
  3. Step 3: Cross multiply
    65,002.28x = 97,484.10 × 27,561.80
  4. Step 4: Simplify right side
    65,002.28x = 2,686,837,267.38
  5. Step 5: Solve for x
    x = 2,686,837,267.38/65,002.28
  6. Step 6: Final answer
    x = 41,334.51

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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.