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Finding the Fourth Proportional to 85,842.24, 128,597.30 and 48,288.20

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Solution

The fourth proportional to 85,842.24, 128,597.30 and 48,288.20 is: 72,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.24 : 128,597.30 = 48,288.20 : x
  2. Step 2: Convert to fraction form
    85,842.24/128,597.30 = 48,288.20/x
  3. Step 3: Cross multiply
    85,842.24x = 128,597.30 × 48,288.20
  4. Step 4: Simplify right side
    85,842.24x = 6,209,732,141.86
  5. Step 5: Solve for x
    x = 6,209,732,141.86/85,842.24
  6. Step 6: Final answer
    x = 72,338.89

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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.