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Finding the Fourth Proportional to 99,640.48, 149,411.76 and 33,058

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Solution

The fourth proportional to 99,640.48, 149,411.76 and 33,058 is: 49,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,640.48 : 149,411.76 = 33,058 : x
  2. Step 2: Convert to fraction form
    99,640.48/149,411.76 = 33,058/x
  3. Step 3: Cross multiply
    99,640.48x = 149,411.76 × 33,058
  4. Step 4: Simplify right side
    99,640.48x = 4,939,253,962.08
  5. Step 5: Solve for x
    x = 4,939,253,962.08/99,640.48
  6. Step 6: Final answer
    x = 49,570.76

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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.