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Finding the Fourth Proportional to 76,015.88, 114,044.72 and 31,663.40

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Solution

The fourth proportional to 76,015.88, 114,044.72 and 31,663.40 is: 47,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015.88 : 114,044.72 = 31,663.40 : x
  2. Step 2: Convert to fraction form
    76,015.88/114,044.72 = 31,663.40/x
  3. Step 3: Cross multiply
    76,015.88x = 114,044.72 × 31,663.40
  4. Step 4: Simplify right side
    76,015.88x = 3,611,043,587.25
  5. Step 5: Solve for x
    x = 3,611,043,587.25/76,015.88
  6. Step 6: Final answer
    x = 47,503.81

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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.