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Finding the Fourth Proportional to 99,225.81, 148,826.90 and 32,649.41

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Solution

The fourth proportional to 99,225.81, 148,826.90 and 32,649.41 is: 48,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225.81 : 148,826.90 = 32,649.41 : x
  2. Step 2: Convert to fraction form
    99,225.81/148,826.90 = 32,649.41/x
  3. Step 3: Cross multiply
    99,225.81x = 148,826.90 × 32,649.41
  4. Step 4: Simplify right side
    99,225.81x = 4,859,110,930.82
  5. Step 5: Solve for x
    x = 4,859,110,930.82/99,225.81
  6. Step 6: Final answer
    x = 48,970.23

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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.