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Finding the Fourth Proportional to 32,783.52, 49,177.44 and 9,410.16

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Solution

The fourth proportional to 32,783.52, 49,177.44 and 9,410.16 is: 14,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.52 : 49,177.44 = 9,410.16 : x
  2. Step 2: Convert to fraction form
    32,783.52/49,177.44 = 9,410.16/x
  3. Step 3: Cross multiply
    32,783.52x = 49,177.44 × 9,410.16
  4. Step 4: Simplify right side
    32,783.52x = 462,767,578.79
  5. Step 5: Solve for x
    x = 462,767,578.79/32,783.52
  6. Step 6: Final answer
    x = 14,115.86

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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.