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Finding the Fourth Proportional to 35,034.42, 52,560 and 10,073.94

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Solution

The fourth proportional to 35,034.42, 52,560 and 10,073.94 is: 15,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,034.42 : 52,560 = 10,073.94 : x
  2. Step 2: Convert to fraction form
    35,034.42/52,560 = 10,073.94/x
  3. Step 3: Cross multiply
    35,034.42x = 52,560 × 10,073.94
  4. Step 4: Simplify right side
    35,034.42x = 529,486,286.40
  5. Step 5: Solve for x
    x = 529,486,286.40/35,034.42
  6. Step 6: Final answer
    x = 15,113.32

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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.