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Finding the Fourth Proportional to 32,674.68, 49,005.36 and 9,294.84

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Solution

The fourth proportional to 32,674.68, 49,005.36 and 9,294.84 is: 13,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.68 : 49,005.36 = 9,294.84 : x
  2. Step 2: Convert to fraction form
    32,674.68/49,005.36 = 9,294.84/x
  3. Step 3: Cross multiply
    32,674.68x = 49,005.36 × 9,294.84
  4. Step 4: Simplify right side
    32,674.68x = 455,496,980.34
  5. Step 5: Solve for x
    x = 455,496,980.34/32,674.68
  6. Step 6: Final answer
    x = 13,940.37

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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.