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Finding the Fourth Proportional to 97,692.96, 146,526.16 and 27,577.92

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Solution

The fourth proportional to 97,692.96, 146,526.16 and 27,577.92 is: 41,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692.96 : 146,526.16 = 27,577.92 : x
  2. Step 2: Convert to fraction form
    97,692.96/146,526.16 = 27,577.92/x
  3. Step 3: Cross multiply
    97,692.96x = 146,526.16 × 27,577.92
  4. Step 4: Simplify right side
    97,692.96x = 4,040,886,718.39
  5. Step 5: Solve for x
    x = 4,040,886,718.39/97,692.96
  6. Step 6: Final answer
    x = 41,363.13

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1.5x scale

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.