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Finding the Fourth Proportional to 97,072.49, 145,643.76 and 33,901.90

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Solution

The fourth proportional to 97,072.49, 145,643.76 and 33,901.90 is: 50,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072.49 : 145,643.76 = 33,901.90 : x
  2. Step 2: Convert to fraction form
    97,072.49/145,643.76 = 33,901.90/x
  3. Step 3: Cross multiply
    97,072.49x = 145,643.76 × 33,901.90
  4. Step 4: Simplify right side
    97,072.49x = 4,937,600,187.14
  5. Step 5: Solve for x
    x = 4,937,600,187.14/97,072.49
  6. Step 6: Final answer
    x = 50,865.08

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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.