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Finding the Fourth Proportional to 74,261.75, 102,479.38 and 42,427.94

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Solution

The fourth proportional to 74,261.75, 102,479.38 and 42,427.94 is: 58,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,261.75 : 102,479.38 = 42,427.94 : x
  2. Step 2: Convert to fraction form
    74,261.75/102,479.38 = 42,427.94/x
  3. Step 3: Cross multiply
    74,261.75x = 102,479.38 × 42,427.94
  4. Step 4: Simplify right side
    74,261.75x = 4,347,988,367.41
  5. Step 5: Solve for x
    x = 4,347,988,367.41/74,261.75
  6. Step 6: Final answer
    x = 58,549.50

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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.