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Finding the Fourth Proportional to 97,812.69, 146,718.95 and 27,692.03

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Solution

The fourth proportional to 97,812.69, 146,718.95 and 27,692.03 is: 41,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,812.69 : 146,718.95 = 27,692.03 : x
  2. Step 2: Convert to fraction form
    97,812.69/146,718.95 = 27,692.03/x
  3. Step 3: Cross multiply
    97,812.69x = 146,718.95 × 27,692.03
  4. Step 4: Simplify right side
    97,812.69x = 4,062,944,692.91
  5. Step 5: Solve for x
    x = 4,062,944,692.91/97,812.69
  6. Step 6: Final answer
    x = 41,538.01

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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.