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Finding the Fourth Proportional to 32,997.88, 49,492.80 and 9,624.34

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Solution

The fourth proportional to 32,997.88, 49,492.80 and 9,624.34 is: 14,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.88 : 49,492.80 = 9,624.34 : x
  2. Step 2: Convert to fraction form
    32,997.88/49,492.80 = 9,624.34/x
  3. Step 3: Cross multiply
    32,997.88x = 49,492.80 × 9,624.34
  4. Step 4: Simplify right side
    32,997.88x = 476,335,534.75
  5. Step 5: Solve for x
    x = 476,335,534.75/32,997.88
  6. Step 6: Final answer
    x = 14,435.34

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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.