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Finding the Fourth Proportional to 98,970.65, 148,453.89 and 24,091.21

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Solution

The fourth proportional to 98,970.65, 148,453.89 and 24,091.21 is: 36,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970.65 : 148,453.89 = 24,091.21 : x
  2. Step 2: Convert to fraction form
    98,970.65/148,453.89 = 24,091.21/x
  3. Step 3: Cross multiply
    98,970.65x = 148,453.89 × 24,091.21
  4. Step 4: Simplify right side
    98,970.65x = 3,576,433,839.31
  5. Step 5: Solve for x
    x = 3,576,433,839.31/98,970.65
  6. Step 6: Final answer
    x = 36,136.31

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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.