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Finding the Fourth Proportional to 101,908.11, 152,871.89 and 39,583.47

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Solution

The fourth proportional to 101,908.11, 152,871.89 and 39,583.47 is: 59,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908.11 : 152,871.89 = 39,583.47 : x
  2. Step 2: Convert to fraction form
    101,908.11/152,871.89 = 39,583.47/x
  3. Step 3: Cross multiply
    101,908.11x = 152,871.89 × 39,583.47
  4. Step 4: Simplify right side
    101,908.11x = 6,051,199,673.74
  5. Step 5: Solve for x
    x = 6,051,199,673.74/101,908.11
  6. Step 6: Final answer
    x = 59,378.98

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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.