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Finding the Fourth Proportional to 30,818.13, 42,529.01 and 16,671

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Solution

The fourth proportional to 30,818.13, 42,529.01 and 16,671 is: 23,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.13 : 42,529.01 = 16,671 : x
  2. Step 2: Convert to fraction form
    30,818.13/42,529.01 = 16,671/x
  3. Step 3: Cross multiply
    30,818.13x = 42,529.01 × 16,671
  4. Step 4: Simplify right side
    30,818.13x = 709,001,125.71
  5. Step 5: Solve for x
    x = 709,001,125.71/30,818.13
  6. Step 6: Final answer
    x = 23,005.97

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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.