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Finding the Fourth Proportional to 106,984.77, 160,502.48 and 34,937.32

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Solution

The fourth proportional to 106,984.77, 160,502.48 and 34,937.32 is: 52,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984.77 : 160,502.48 = 34,937.32 : x
  2. Step 2: Convert to fraction form
    106,984.77/160,502.48 = 34,937.32/x
  3. Step 3: Cross multiply
    106,984.77x = 160,502.48 × 34,937.32
  4. Step 4: Simplify right side
    106,984.77x = 5,607,526,504.55
  5. Step 5: Solve for x
    x = 5,607,526,504.55/106,984.77
  6. Step 6: Final answer
    x = 52,414.25

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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.