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Finding the Fourth Proportional to 97,165.34, 145,718.59 and 33,973.69

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Solution

The fourth proportional to 97,165.34, 145,718.59 and 33,973.69 is: 50,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,165.34 : 145,718.59 = 33,973.69 : x
  2. Step 2: Convert to fraction form
    97,165.34/145,718.59 = 33,973.69/x
  3. Step 3: Cross multiply
    97,165.34x = 145,718.59 × 33,973.69
  4. Step 4: Simplify right side
    97,165.34x = 4,950,598,203.90
  5. Step 5: Solve for x
    x = 4,950,598,203.90/97,165.34
  6. Step 6: Final answer
    x = 50,950.25

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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.