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Finding the Fourth Proportional to 32,794.52, 49,193.94 and 9,421.16

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Solution

The fourth proportional to 32,794.52, 49,193.94 and 9,421.16 is: 14,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.52 : 49,193.94 = 9,421.16 : x
  2. Step 2: Convert to fraction form
    32,794.52/49,193.94 = 9,421.16/x
  3. Step 3: Cross multiply
    32,794.52x = 49,193.94 × 9,421.16
  4. Step 4: Simplify right side
    32,794.52x = 463,463,979.77
  5. Step 5: Solve for x
    x = 463,463,979.77/32,794.52
  6. Step 6: Final answer
    x = 14,132.36

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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.