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Finding the Fourth Proportional to 30,777.75, 42,484.23 and 18,202.50

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Solution

The fourth proportional to 30,777.75, 42,484.23 and 18,202.50 is: 25,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.75 : 42,484.23 = 18,202.50 : x
  2. Step 2: Convert to fraction form
    30,777.75/42,484.23 = 18,202.50/x
  3. Step 3: Cross multiply
    30,777.75x = 42,484.23 × 18,202.50
  4. Step 4: Simplify right side
    30,777.75x = 773,319,196.58
  5. Step 5: Solve for x
    x = 773,319,196.58/30,777.75
  6. Step 6: Final answer
    x = 25,125.92

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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.