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Finding the Fourth Proportional to 90,342.32, 135,535.01 and 31,178.50

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Solution

The fourth proportional to 90,342.32, 135,535.01 and 31,178.50 is: 46,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,342.32 : 135,535.01 = 31,178.50 : x
  2. Step 2: Convert to fraction form
    90,342.32/135,535.01 = 31,178.50/x
  3. Step 3: Cross multiply
    90,342.32x = 135,535.01 × 31,178.50
  4. Step 4: Simplify right side
    90,342.32x = 4,225,777,814.55
  5. Step 5: Solve for x
    x = 4,225,777,814.55/90,342.32
  6. Step 6: Final answer
    x = 46,775.18

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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.