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Finding the Fourth Proportional to 30,592.61, 42,218.44 and 17,164.83

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Solution

The fourth proportional to 30,592.61, 42,218.44 and 17,164.83 is: 23,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.61 : 42,218.44 = 17,164.83 : x
  2. Step 2: Convert to fraction form
    30,592.61/42,218.44 = 17,164.83/x
  3. Step 3: Cross multiply
    30,592.61x = 42,218.44 × 17,164.83
  4. Step 4: Simplify right side
    30,592.61x = 724,672,345.47
  5. Step 5: Solve for x
    x = 724,672,345.47/30,592.61
  6. Step 6: Final answer
    x = 23,687.83

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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.