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Finding the Fourth Proportional to 106,692.12, 160,038.06 and 32,820.12

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Solution

The fourth proportional to 106,692.12, 160,038.06 and 32,820.12 is: 49,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.12 : 160,038.06 = 32,820.12 : x
  2. Step 2: Convert to fraction form
    106,692.12/160,038.06 = 32,820.12/x
  3. Step 3: Cross multiply
    106,692.12x = 160,038.06 × 32,820.12
  4. Step 4: Simplify right side
    106,692.12x = 5,252,468,333.77
  5. Step 5: Solve for x
    x = 5,252,468,333.77/106,692.12
  6. Step 6: Final answer
    x = 49,230.14

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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.