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Finding the Fourth Proportional to 98,882.73, 148,307.96 and 27,810.23

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Solution

The fourth proportional to 98,882.73, 148,307.96 and 27,810.23 is: 41,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882.73 : 148,307.96 = 27,810.23 : x
  2. Step 2: Convert to fraction form
    98,882.73/148,307.96 = 27,810.23/x
  3. Step 3: Cross multiply
    98,882.73x = 148,307.96 × 27,810.23
  4. Step 4: Simplify right side
    98,882.73x = 4,124,477,806.42
  5. Step 5: Solve for x
    x = 4,124,477,806.42/98,882.73
  6. Step 6: Final answer
    x = 41,710.80

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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.