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Finding the Fourth Proportional to 99,220.57, 148,819.06 and 32,644.19

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Solution

The fourth proportional to 99,220.57, 148,819.06 and 32,644.19 is: 48,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,220.57 : 148,819.06 = 32,644.19 : x
  2. Step 2: Convert to fraction form
    99,220.57/148,819.06 = 32,644.19/x
  3. Step 3: Cross multiply
    99,220.57x = 148,819.06 × 32,644.19
  4. Step 4: Simplify right side
    99,220.57x = 4,858,076,762.95
  5. Step 5: Solve for x
    x = 4,858,076,762.95/99,220.57
  6. Step 6: Final answer
    x = 48,962.40

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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.