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Finding the Fourth Proportional to 120,692.52, 181,038.78 and 37,593

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Solution

The fourth proportional to 120,692.52, 181,038.78 and 37,593 is: 56,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692.52 : 181,038.78 = 37,593 : x
  2. Step 2: Convert to fraction form
    120,692.52/181,038.78 = 37,593/x
  3. Step 3: Cross multiply
    120,692.52x = 181,038.78 × 37,593
  4. Step 4: Simplify right side
    120,692.52x = 6,805,790,856.54
  5. Step 5: Solve for x
    x = 6,805,790,856.54/120,692.52
  6. Step 6: Final answer
    x = 56,389.50

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1.5x scale

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.