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Finding the Fourth Proportional to 30,747.48, 42,417.02 and 17,992.77

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Solution

The fourth proportional to 30,747.48, 42,417.02 and 17,992.77 is: 24,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.48 : 42,417.02 = 17,992.77 : x
  2. Step 2: Convert to fraction form
    30,747.48/42,417.02 = 17,992.77/x
  3. Step 3: Cross multiply
    30,747.48x = 42,417.02 × 17,992.77
  4. Step 4: Simplify right side
    30,747.48x = 763,199,729.93
  5. Step 5: Solve for x
    x = 763,199,729.93/30,747.48
  6. Step 6: Final answer
    x = 24,821.53

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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.