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Finding the Fourth Proportional to 72,534.15, 100,107.09 and 40,704.93

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Solution

The fourth proportional to 72,534.15, 100,107.09 and 40,704.93 is: 56,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,534.15 : 100,107.09 = 40,704.93 : x
  2. Step 2: Convert to fraction form
    72,534.15/100,107.09 = 40,704.93/x
  3. Step 3: Cross multiply
    72,534.15x = 100,107.09 × 40,704.93
  4. Step 4: Simplify right side
    72,534.15x = 4,074,852,090.95
  5. Step 5: Solve for x
    x = 4,074,852,090.95/72,534.15
  6. Step 6: Final answer
    x = 56,178.39

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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.