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Finding the Fourth Proportional to 72,149.24, 99,564.04 and 40,318.40

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Solution

The fourth proportional to 72,149.24, 99,564.04 and 40,318.40 is: 55,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,149.24 : 99,564.04 = 40,318.40 : x
  2. Step 2: Convert to fraction form
    72,149.24/99,564.04 = 40,318.40/x
  3. Step 3: Cross multiply
    72,149.24x = 99,564.04 × 40,318.40
  4. Step 4: Simplify right side
    72,149.24x = 4,014,262,790.34
  5. Step 5: Solve for x
    x = 4,014,262,790.34/72,149.24
  6. Step 6: Final answer
    x = 55,638.32

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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.