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Finding the Fourth Proportional to 71,279.16, 106,916.28 and 33,857.16

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Solution

The fourth proportional to 71,279.16, 106,916.28 and 33,857.16 is: 50,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,279.16 : 106,916.28 = 33,857.16 : x
  2. Step 2: Convert to fraction form
    71,279.16/106,916.28 = 33,857.16/x
  3. Step 3: Cross multiply
    71,279.16x = 106,916.28 × 33,857.16
  4. Step 4: Simplify right side
    71,279.16x = 3,619,881,598.56
  5. Step 5: Solve for x
    x = 3,619,881,598.56/71,279.16
  6. Step 6: Final answer
    x = 50,784.57

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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.