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Finding the Fourth Proportional to 29,398.84, 40,570.24 and 15,970

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Solution

The fourth proportional to 29,398.84, 40,570.24 and 15,970 is: 22,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.84 : 40,570.24 = 15,970 : x
  2. Step 2: Convert to fraction form
    29,398.84/40,570.24 = 15,970/x
  3. Step 3: Cross multiply
    29,398.84x = 40,570.24 × 15,970
  4. Step 4: Simplify right side
    29,398.84x = 647,906,732.80
  5. Step 5: Solve for x
    x = 647,906,732.80/29,398.84
  6. Step 6: Final answer
    x = 22,038.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.