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Finding the Fourth Proportional to 72,442.96, 99,967.08 and 40,606

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Solution

The fourth proportional to 72,442.96, 99,967.08 and 40,606 is: 56,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442.96 : 99,967.08 = 40,606 : x
  2. Step 2: Convert to fraction form
    72,442.96/99,967.08 = 40,606/x
  3. Step 3: Cross multiply
    72,442.96x = 99,967.08 × 40,606
  4. Step 4: Simplify right side
    72,442.96x = 4,059,263,250.48
  5. Step 5: Solve for x
    x = 4,059,263,250.48/72,442.96
  6. Step 6: Final answer
    x = 56,033.92

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Why These Related Problems?

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