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Finding the Fourth Proportional to 34,653, 51,988.16 and 10,029

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Solution

The fourth proportional to 34,653, 51,988.16 and 10,029 is: 15,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653 : 51,988.16 = 10,029 : x
  2. Step 2: Convert to fraction form
    34,653/51,988.16 = 10,029/x
  3. Step 3: Cross multiply
    34,653x = 51,988.16 × 10,029
  4. Step 4: Simplify right side
    34,653x = 521,389,256.64
  5. Step 5: Solve for x
    x = 521,389,256.64/34,653
  6. Step 6: Final answer
    x = 15,046.01

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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.