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Finding the Fourth Proportional to 32,409.65, 48,614.49 and 10,224.77

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Solution

The fourth proportional to 32,409.65, 48,614.49 and 10,224.77 is: 15,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.65 : 48,614.49 = 10,224.77 : x
  2. Step 2: Convert to fraction form
    32,409.65/48,614.49 = 10,224.77/x
  3. Step 3: Cross multiply
    32,409.65x = 48,614.49 × 10,224.77
  4. Step 4: Simplify right side
    32,409.65x = 497,071,735.84
  5. Step 5: Solve for x
    x = 497,071,735.84/32,409.65
  6. Step 6: Final answer
    x = 15,337.15

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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.