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Finding the Fourth Proportional to 74,461.60, 111,712.20 and 32,323.60

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Solution

The fourth proportional to 74,461.60, 111,712.20 and 32,323.60 is: 48,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461.60 : 111,712.20 = 32,323.60 : x
  2. Step 2: Convert to fraction form
    74,461.60/111,712.20 = 32,323.60/x
  3. Step 3: Cross multiply
    74,461.60x = 111,712.20 × 32,323.60
  4. Step 4: Simplify right side
    74,461.60x = 3,610,940,467.92
  5. Step 5: Solve for x
    x = 3,610,940,467.92/74,461.60
  6. Step 6: Final answer
    x = 48,494.00

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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.