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Finding the Fourth Proportional to 75,160.98, 112,688.06 and 37,694.02

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Solution

The fourth proportional to 75,160.98, 112,688.06 and 37,694.02 is: 56,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,160.98 : 112,688.06 = 37,694.02 : x
  2. Step 2: Convert to fraction form
    75,160.98/112,688.06 = 37,694.02/x
  3. Step 3: Cross multiply
    75,160.98x = 112,688.06 × 37,694.02
  4. Step 4: Simplify right side
    75,160.98x = 4,247,665,987.40
  5. Step 5: Solve for x
    x = 4,247,665,987.40/75,160.98
  6. Step 6: Final answer
    x = 56,514.24

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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.