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Finding the Fourth Proportional to 74,296.96, 102,524.48 and 42,467.20

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Solution

The fourth proportional to 74,296.96, 102,524.48 and 42,467.20 is: 58,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296.96 : 102,524.48 = 42,467.20 : x
  2. Step 2: Convert to fraction form
    74,296.96/102,524.48 = 42,467.20/x
  3. Step 3: Cross multiply
    74,296.96x = 102,524.48 × 42,467.20
  4. Step 4: Simplify right side
    74,296.96x = 4,353,927,597.06
  5. Step 5: Solve for x
    x = 4,353,927,597.06/74,296.96
  6. Step 6: Final answer
    x = 58,601.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.