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Finding the Fourth Proportional to 101,713.50, 152,570.25 and 39,384

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Solution

The fourth proportional to 101,713.50, 152,570.25 and 39,384 is: 59,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,713.50 : 152,570.25 = 39,384 : x
  2. Step 2: Convert to fraction form
    101,713.50/152,570.25 = 39,384/x
  3. Step 3: Cross multiply
    101,713.50x = 152,570.25 × 39,384
  4. Step 4: Simplify right side
    101,713.50x = 6,008,826,726
  5. Step 5: Solve for x
    x = 6,008,826,726/101,713.50
  6. Step 6: Final answer
    x = 59,076

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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.