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Finding the Fourth Proportional to 72,142.30, 99,556.87 and 40,312.54

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Solution

The fourth proportional to 72,142.30, 99,556.87 and 40,312.54 is: 55,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,142.30 : 99,556.87 = 40,312.54 : x
  2. Step 2: Convert to fraction form
    72,142.30/99,556.87 = 40,312.54/x
  3. Step 3: Cross multiply
    72,142.30x = 99,556.87 × 40,312.54
  4. Step 4: Simplify right side
    72,142.30x = 4,013,390,304.15
  5. Step 5: Solve for x
    x = 4,013,390,304.15/72,142.30
  6. Step 6: Final answer
    x = 55,631.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.