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Finding the Fourth Proportional to 38,566.96, 53,216.76 and 22,656.56

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Solution

The fourth proportional to 38,566.96, 53,216.76 and 22,656.56 is: 31,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.96 : 53,216.76 = 22,656.56 : x
  2. Step 2: Convert to fraction form
    38,566.96/53,216.76 = 22,656.56/x
  3. Step 3: Cross multiply
    38,566.96x = 53,216.76 × 22,656.56
  4. Step 4: Simplify right side
    38,566.96x = 1,205,708,715.95
  5. Step 5: Solve for x
    x = 1,205,708,715.95/38,566.96
  6. Step 6: Final answer
    x = 31,262.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.