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Finding the Fourth Proportional to 28,513.44, 42,767.28 and 10,044

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Solution

The fourth proportional to 28,513.44, 42,767.28 and 10,044 is: 15,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,513.44 : 42,767.28 = 10,044 : x
  2. Step 2: Convert to fraction form
    28,513.44/42,767.28 = 10,044/x
  3. Step 3: Cross multiply
    28,513.44x = 42,767.28 × 10,044
  4. Step 4: Simplify right side
    28,513.44x = 429,554,560.32
  5. Step 5: Solve for x
    x = 429,554,560.32/28,513.44
  6. Step 6: Final answer
    x = 15,064.99

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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.