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Finding the Fourth Proportional to 99,076.80, 148,633.20 and 32,498.40

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Solution

The fourth proportional to 99,076.80, 148,633.20 and 32,498.40 is: 48,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,076.80 : 148,633.20 = 32,498.40 : x
  2. Step 2: Convert to fraction form
    99,076.80/148,633.20 = 32,498.40/x
  3. Step 3: Cross multiply
    99,076.80x = 148,633.20 × 32,498.40
  4. Step 4: Simplify right side
    99,076.80x = 4,830,341,186.88
  5. Step 5: Solve for x
    x = 4,830,341,186.88/99,076.80
  6. Step 6: Final answer
    x = 48,753.50

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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.