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Finding the Fourth Proportional to 99,638.64, 149,475.60 and 33,071.76

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Solution

The fourth proportional to 99,638.64, 149,475.60 and 33,071.76 is: 49,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638.64 : 149,475.60 = 33,071.76 : x
  2. Step 2: Convert to fraction form
    99,638.64/149,475.60 = 33,071.76/x
  3. Step 3: Cross multiply
    99,638.64x = 149,475.60 × 33,071.76
  4. Step 4: Simplify right side
    99,638.64x = 4,943,421,169.06
  5. Step 5: Solve for x
    x = 4,943,421,169.06/99,638.64
  6. Step 6: Final answer
    x = 49,613.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.