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Finding the Fourth Proportional to 97,071.49, 145,642.26 and 33,900.90

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Solution

The fourth proportional to 97,071.49, 145,642.26 and 33,900.90 is: 50,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,071.49 : 145,642.26 = 33,900.90 : x
  2. Step 2: Convert to fraction form
    97,071.49/145,642.26 = 33,900.90/x
  3. Step 3: Cross multiply
    97,071.49x = 145,642.26 × 33,900.90
  4. Step 4: Simplify right side
    97,071.49x = 4,937,403,692.03
  5. Step 5: Solve for x
    x = 4,937,403,692.03/97,071.49
  6. Step 6: Final answer
    x = 50,863.58

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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.