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Finding the Fourth Proportional to 98,967.88, 148,435.24 and 35,776.04

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Solution

The fourth proportional to 98,967.88, 148,435.24 and 35,776.04 is: 53,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967.88 : 148,435.24 = 35,776.04 : x
  2. Step 2: Convert to fraction form
    98,967.88/148,435.24 = 35,776.04/x
  3. Step 3: Cross multiply
    98,967.88x = 148,435.24 × 35,776.04
  4. Step 4: Simplify right side
    98,967.88x = 5,310,425,083.65
  5. Step 5: Solve for x
    x = 5,310,425,083.65/98,967.88
  6. Step 6: Final answer
    x = 53,658.07

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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.