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Finding the Fourth Proportional to 98,969.79, 148,442.99 and 27,897.76

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Solution

The fourth proportional to 98,969.79, 148,442.99 and 27,897.76 is: 41,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,969.79 : 148,442.99 = 27,897.76 : x
  2. Step 2: Convert to fraction form
    98,969.79/148,442.99 = 27,897.76/x
  3. Step 3: Cross multiply
    98,969.79x = 148,442.99 × 27,897.76
  4. Step 4: Simplify right side
    98,969.79x = 4,141,226,502.72
  5. Step 5: Solve for x
    x = 4,141,226,502.72/98,969.79
  6. Step 6: Final answer
    x = 41,843.34

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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.