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Finding the Fourth Proportional to 32,522.99, 48,784.53 and 9,149.45

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Solution

The fourth proportional to 32,522.99, 48,784.53 and 9,149.45 is: 13,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.99 : 48,784.53 = 9,149.45 : x
  2. Step 2: Convert to fraction form
    32,522.99/48,784.53 = 9,149.45/x
  3. Step 3: Cross multiply
    32,522.99x = 48,784.53 × 9,149.45
  4. Step 4: Simplify right side
    32,522.99x = 446,351,618.01
  5. Step 5: Solve for x
    x = 446,351,618.01/32,522.99
  6. Step 6: Final answer
    x = 13,724.19

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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.