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Finding the Fourth Proportional to 99,097.80, 148,664.70 and 32,519.40

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Solution

The fourth proportional to 99,097.80, 148,664.70 and 32,519.40 is: 48,785.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,097.80 : 148,664.70 = 32,519.40 : x
  2. Step 2: Convert to fraction form
    99,097.80/148,664.70 = 32,519.40/x
  3. Step 3: Cross multiply
    99,097.80x = 148,664.70 × 32,519.40
  4. Step 4: Simplify right side
    99,097.80x = 4,834,486,845.18
  5. Step 5: Solve for x
    x = 4,834,486,845.18/99,097.80
  6. Step 6: Final answer
    x = 48,785.01

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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.