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Finding the Fourth Proportional to 32,812.57, 49,213.59 and 11,748.70

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Solution

The fourth proportional to 32,812.57, 49,213.59 and 11,748.70 is: 17,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.57 : 49,213.59 = 11,748.70 : x
  2. Step 2: Convert to fraction form
    32,812.57/49,213.59 = 11,748.70/x
  3. Step 3: Cross multiply
    32,812.57x = 49,213.59 × 11,748.70
  4. Step 4: Simplify right side
    32,812.57x = 578,195,704.83
  5. Step 5: Solve for x
    x = 578,195,704.83/32,812.57
  6. Step 6: Final answer
    x = 17,621.16

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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.