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Finding the Fourth Proportional to 75,261.60, 112,892.40 and 37,936.80

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Solution

The fourth proportional to 75,261.60, 112,892.40 and 37,936.80 is: 56,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261.60 : 112,892.40 = 37,936.80 : x
  2. Step 2: Convert to fraction form
    75,261.60/112,892.40 = 37,936.80/x
  3. Step 3: Cross multiply
    75,261.60x = 112,892.40 × 37,936.80
  4. Step 4: Simplify right side
    75,261.60x = 4,282,776,400.32
  5. Step 5: Solve for x
    x = 4,282,776,400.32/75,261.60
  6. Step 6: Final answer
    x = 56,905.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.