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Finding the Fourth Proportional to 34,686, 52,037.64 and 10,062

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Solution

The fourth proportional to 34,686, 52,037.64 and 10,062 is: 15,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686 : 52,037.64 = 10,062 : x
  2. Step 2: Convert to fraction form
    34,686/52,037.64 = 10,062/x
  3. Step 3: Cross multiply
    34,686x = 52,037.64 × 10,062
  4. Step 4: Simplify right side
    34,686x = 523,602,733.68
  5. Step 5: Solve for x
    x = 523,602,733.68/34,686
  6. Step 6: Final answer
    x = 15,095.51

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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.