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Finding the Fourth Proportional to 72,405.42, 99,915.35 and 42,195.66

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Solution

The fourth proportional to 72,405.42, 99,915.35 and 42,195.66 is: 58,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,405.42 : 99,915.35 = 42,195.66 : x
  2. Step 2: Convert to fraction form
    72,405.42/99,915.35 = 42,195.66/x
  3. Step 3: Cross multiply
    72,405.42x = 99,915.35 × 42,195.66
  4. Step 4: Simplify right side
    72,405.42x = 4,215,994,137.38
  5. Step 5: Solve for x
    x = 4,215,994,137.38/72,405.42
  6. Step 6: Final answer
    x = 58,227.60

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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.