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Finding the Fourth Proportional to 30,522.08, 45,753.96 and 9,732.08

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Solution

The fourth proportional to 30,522.08, 45,753.96 and 9,732.08 is: 14,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.08 : 45,753.96 = 9,732.08 : x
  2. Step 2: Convert to fraction form
    30,522.08/45,753.96 = 9,732.08/x
  3. Step 3: Cross multiply
    30,522.08x = 45,753.96 × 9,732.08
  4. Step 4: Simplify right side
    30,522.08x = 445,281,199.04
  5. Step 5: Solve for x
    x = 445,281,199.04/30,522.08
  6. Step 6: Final answer
    x = 14,588.82

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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.