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Finding the Fourth Proportional to 32,857.26, 49,307.76 and 12,080.76

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Solution

The fourth proportional to 32,857.26, 49,307.76 and 12,080.76 is: 18,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.26 : 49,307.76 = 12,080.76 : x
  2. Step 2: Convert to fraction form
    32,857.26/49,307.76 = 12,080.76/x
  3. Step 3: Cross multiply
    32,857.26x = 49,307.76 × 12,080.76
  4. Step 4: Simplify right side
    32,857.26x = 595,675,214.70
  5. Step 5: Solve for x
    x = 595,675,214.70/32,857.26
  6. Step 6: Final answer
    x = 18,129.18

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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.