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Finding the Fourth Proportional to 30,362.58, 45,539.76 and 8,177.30

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Solution

The fourth proportional to 30,362.58, 45,539.76 and 8,177.30 is: 12,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362.58 : 45,539.76 = 8,177.30 : x
  2. Step 2: Convert to fraction form
    30,362.58/45,539.76 = 8,177.30/x
  3. Step 3: Cross multiply
    30,362.58x = 45,539.76 × 8,177.30
  4. Step 4: Simplify right side
    30,362.58x = 372,392,051.75
  5. Step 5: Solve for x
    x = 372,392,051.75/30,362.58
  6. Step 6: Final answer
    x = 12,264.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.