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Finding the Fourth Proportional to 30,836, 42,553.68 and 17,588

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Solution

The fourth proportional to 30,836, 42,553.68 and 17,588 is: 24,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836 : 42,553.68 = 17,588 : x
  2. Step 2: Convert to fraction form
    30,836/42,553.68 = 17,588/x
  3. Step 3: Cross multiply
    30,836x = 42,553.68 × 17,588
  4. Step 4: Simplify right side
    30,836x = 748,434,123.84
  5. Step 5: Solve for x
    x = 748,434,123.84/30,836
  6. Step 6: Final answer
    x = 24,271.44

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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.