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Finding the Fourth Proportional to 32,992.30, 49,473.06 and 9,614.08

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Solution

The fourth proportional to 32,992.30, 49,473.06 and 9,614.08 is: 14,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.30 : 49,473.06 = 9,614.08 : x
  2. Step 2: Convert to fraction form
    32,992.30/49,473.06 = 9,614.08/x
  3. Step 3: Cross multiply
    32,992.30x = 49,473.06 × 9,614.08
  4. Step 4: Simplify right side
    32,992.30x = 475,637,956.68
  5. Step 5: Solve for x
    x = 475,637,956.68/32,992.30
  6. Step 6: Final answer
    x = 14,416.64

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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.