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Finding the Fourth Proportional to 50,650.88, 75,970.56 and 13,712

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Solution

The fourth proportional to 50,650.88, 75,970.56 and 13,712 is: 20,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,650.88 : 75,970.56 = 13,712 : x
  2. Step 2: Convert to fraction form
    50,650.88/75,970.56 = 13,712/x
  3. Step 3: Cross multiply
    50,650.88x = 75,970.56 × 13,712
  4. Step 4: Simplify right side
    50,650.88x = 1,041,708,318.72
  5. Step 5: Solve for x
    x = 1,041,708,318.72/50,650.88
  6. Step 6: Final answer
    x = 20,566.44

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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.