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Finding the Fourth Proportional to 72,739.98, 100,386.81 and 40,911.84

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Solution

The fourth proportional to 72,739.98, 100,386.81 and 40,911.84 is: 56,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,739.98 : 100,386.81 = 40,911.84 : x
  2. Step 2: Convert to fraction form
    72,739.98/100,386.81 = 40,911.84/x
  3. Step 3: Cross multiply
    72,739.98x = 100,386.81 × 40,911.84
  4. Step 4: Simplify right side
    72,739.98x = 4,107,009,108.83
  5. Step 5: Solve for x
    x = 4,107,009,108.83/72,739.98
  6. Step 6: Final answer
    x = 56,461.51

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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.