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Finding the Fourth Proportional to 74,535.84, 102,858.90 and 42,276.60

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Solution

The fourth proportional to 74,535.84, 102,858.90 and 42,276.60 is: 58,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,535.84 : 102,858.90 = 42,276.60 : x
  2. Step 2: Convert to fraction form
    74,535.84/102,858.90 = 42,276.60/x
  3. Step 3: Cross multiply
    74,535.84x = 102,858.90 × 42,276.60
  4. Step 4: Simplify right side
    74,535.84x = 4,348,524,571.74
  5. Step 5: Solve for x
    x = 4,348,524,571.74/74,535.84
  6. Step 6: Final answer
    x = 58,341.39

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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.