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Finding the Fourth Proportional to 72,411.68, 99,922.65 and 40,574.43

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Solution

The fourth proportional to 72,411.68, 99,922.65 and 40,574.43 is: 55,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,411.68 : 99,922.65 = 40,574.43 : x
  2. Step 2: Convert to fraction form
    72,411.68/99,922.65 = 40,574.43/x
  3. Step 3: Cross multiply
    72,411.68x = 99,922.65 × 40,574.43
  4. Step 4: Simplify right side
    72,411.68x = 4,054,304,567.84
  5. Step 5: Solve for x
    x = 4,054,304,567.84/72,411.68
  6. Step 6: Final answer
    x = 55,989.65

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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.