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Finding the Fourth Proportional to 101,632.04, 152,464.22 and 31,496.84

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Solution

The fourth proportional to 101,632.04, 152,464.22 and 31,496.84 is: 47,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,632.04 : 152,464.22 = 31,496.84 : x
  2. Step 2: Convert to fraction form
    101,632.04/152,464.22 = 31,496.84/x
  3. Step 3: Cross multiply
    101,632.04x = 152,464.22 × 31,496.84
  4. Step 4: Simplify right side
    101,632.04x = 4,802,141,143.06
  5. Step 5: Solve for x
    x = 4,802,141,143.06/101,632.04
  6. Step 6: Final answer
    x = 47,250.27

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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.