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Finding the Fourth Proportional to 30,824.48, 42,537.48 and 16,677.02

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Solution

The fourth proportional to 30,824.48, 42,537.48 and 16,677.02 is: 23,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.48 : 42,537.48 = 16,677.02 : x
  2. Step 2: Convert to fraction form
    30,824.48/42,537.48 = 16,677.02/x
  3. Step 3: Cross multiply
    30,824.48x = 42,537.48 × 16,677.02
  4. Step 4: Simplify right side
    30,824.48x = 709,398,404.71
  5. Step 5: Solve for x
    x = 709,398,404.71/30,824.48
  6. Step 6: Final answer
    x = 23,014.12

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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.