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Finding the Fourth Proportional to 75,999.92, 114,014.52 and 31,602.80

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Solution

The fourth proportional to 75,999.92, 114,014.52 and 31,602.80 is: 47,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.92 : 114,014.52 = 31,602.80 : x
  2. Step 2: Convert to fraction form
    75,999.92/114,014.52 = 31,602.80/x
  3. Step 3: Cross multiply
    75,999.92x = 114,014.52 × 31,602.80
  4. Step 4: Simplify right side
    75,999.92x = 3,603,178,072.66
  5. Step 5: Solve for x
    x = 3,603,178,072.66/75,999.92
  6. Step 6: Final answer
    x = 47,410.29

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1.5x scale

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.