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Finding the Fourth Proportional to 99,295.36, 148,948.56 and 32,732.80

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Solution

The fourth proportional to 99,295.36, 148,948.56 and 32,732.80 is: 49,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,295.36 : 148,948.56 = 32,732.80 : x
  2. Step 2: Convert to fraction form
    99,295.36/148,948.56 = 32,732.80/x
  3. Step 3: Cross multiply
    99,295.36x = 148,948.56 × 32,732.80
  4. Step 4: Simplify right side
    99,295.36x = 4,875,503,424.77
  5. Step 5: Solve for x
    x = 4,875,503,424.77/99,295.36
  6. Step 6: Final answer
    x = 49,101.02

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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.