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Finding the Fourth Proportional to 32,553.95, 48,832.59 and 9,182.21

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Solution

The fourth proportional to 32,553.95, 48,832.59 and 9,182.21 is: 13,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.95 : 48,832.59 = 9,182.21 : x
  2. Step 2: Convert to fraction form
    32,553.95/48,832.59 = 9,182.21/x
  3. Step 3: Cross multiply
    32,553.95x = 48,832.59 × 9,182.21
  4. Step 4: Simplify right side
    32,553.95x = 448,390,852.06
  5. Step 5: Solve for x
    x = 448,390,852.06/32,553.95
  6. Step 6: Final answer
    x = 13,773.78

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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.