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Finding the Fourth Proportional to 97,482.96, 146,194.65 and 41,322

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Solution

The fourth proportional to 97,482.96, 146,194.65 and 41,322 is: 61,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.96 : 146,194.65 = 41,322 : x
  2. Step 2: Convert to fraction form
    97,482.96/146,194.65 = 41,322/x
  3. Step 3: Cross multiply
    97,482.96x = 146,194.65 × 41,322
  4. Step 4: Simplify right side
    97,482.96x = 6,041,055,327.30
  5. Step 5: Solve for x
    x = 6,041,055,327.30/97,482.96
  6. Step 6: Final answer
    x = 61,970.37

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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.