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Finding the Fourth Proportional to 98,893.65, 148,359.57 and 32,315.82

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Solution

The fourth proportional to 98,893.65, 148,359.57 and 32,315.82 is: 48,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,893.65 : 148,359.57 = 32,315.82 : x
  2. Step 2: Convert to fraction form
    98,893.65/148,359.57 = 32,315.82/x
  3. Step 3: Cross multiply
    98,893.65x = 148,359.57 × 32,315.82
  4. Step 4: Simplify right side
    98,893.65x = 4,794,361,159.40
  5. Step 5: Solve for x
    x = 4,794,361,159.40/98,893.65
  6. Step 6: Final answer
    x = 48,479.97

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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.