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Finding the Fourth Proportional to 30,963.84, 42,732.75 and 17,537.46

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Solution

The fourth proportional to 30,963.84, 42,732.75 and 17,537.46 is: 24,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.84 : 42,732.75 = 17,537.46 : x
  2. Step 2: Convert to fraction form
    30,963.84/42,732.75 = 17,537.46/x
  3. Step 3: Cross multiply
    30,963.84x = 42,732.75 × 17,537.46
  4. Step 4: Simplify right side
    30,963.84x = 749,423,893.82
  5. Step 5: Solve for x
    x = 749,423,893.82/30,963.84
  6. Step 6: Final answer
    x = 24,203.20

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