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Finding the Fourth Proportional to 99,892.90, 149,838.94 and 47,339.29

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Solution

The fourth proportional to 99,892.90, 149,838.94 and 47,339.29 is: 71,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,892.90 : 149,838.94 = 47,339.29 : x
  2. Step 2: Convert to fraction form
    99,892.90/149,838.94 = 47,339.29/x
  3. Step 3: Cross multiply
    99,892.90x = 149,838.94 × 47,339.29
  4. Step 4: Simplify right side
    99,892.90x = 7,093,269,033.95
  5. Step 5: Solve for x
    x = 7,093,269,033.95/99,892.90
  6. Step 6: Final answer
    x = 71,008.74

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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.