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Finding the Fourth Proportional to 89,950, 134,931.48 and 34,546

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Solution

The fourth proportional to 89,950, 134,931.48 and 34,546 is: 51,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,950 : 134,931.48 = 34,546 : x
  2. Step 2: Convert to fraction form
    89,950/134,931.48 = 34,546/x
  3. Step 3: Cross multiply
    89,950x = 134,931.48 × 34,546
  4. Step 4: Simplify right side
    89,950x = 4,661,342,908.08
  5. Step 5: Solve for x
    x = 4,661,342,908.08/89,950
  6. Step 6: Final answer
    x = 51,821.49

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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.