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Finding the Fourth Proportional to 75,052.80, 112,546.80 and 37,598.40

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Solution

The fourth proportional to 75,052.80, 112,546.80 and 37,598.40 is: 56,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,052.80 : 112,546.80 = 37,598.40 : x
  2. Step 2: Convert to fraction form
    75,052.80/112,546.80 = 37,598.40/x
  3. Step 3: Cross multiply
    75,052.80x = 112,546.80 × 37,598.40
  4. Step 4: Simplify right side
    75,052.80x = 4,231,579,605.12
  5. Step 5: Solve for x
    x = 4,231,579,605.12/75,052.80
  6. Step 6: Final answer
    x = 56,381.37

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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.