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Finding the Fourth Proportional to 72,142.40, 108,222.24 and 30,584

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Solution

The fourth proportional to 72,142.40, 108,222.24 and 30,584 is: 45,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,142.40 : 108,222.24 = 30,584 : x
  2. Step 2: Convert to fraction form
    72,142.40/108,222.24 = 30,584/x
  3. Step 3: Cross multiply
    72,142.40x = 108,222.24 × 30,584
  4. Step 4: Simplify right side
    72,142.40x = 3,309,868,988.16
  5. Step 5: Solve for x
    x = 3,309,868,988.16/72,142.40
  6. Step 6: Final answer
    x = 45,879.66

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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.