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Finding the Fourth Proportional to 32,542.42, 48,816.51 and 9,169.06

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Solution

The fourth proportional to 32,542.42, 48,816.51 and 9,169.06 is: 13,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.42 : 48,816.51 = 9,169.06 : x
  2. Step 2: Convert to fraction form
    32,542.42/48,816.51 = 9,169.06/x
  3. Step 3: Cross multiply
    32,542.42x = 48,816.51 × 9,169.06
  4. Step 4: Simplify right side
    32,542.42x = 447,601,509.18
  5. Step 5: Solve for x
    x = 447,601,509.18/32,542.42
  6. Step 6: Final answer
    x = 13,754.40

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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.