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Finding the Fourth Proportional to 38,657.51, 53,346.46 and 22,742.98

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Solution

The fourth proportional to 38,657.51, 53,346.46 and 22,742.98 is: 31,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.51 : 53,346.46 = 22,742.98 : x
  2. Step 2: Convert to fraction form
    38,657.51/53,346.46 = 22,742.98/x
  3. Step 3: Cross multiply
    38,657.51x = 53,346.46 × 22,742.98
  4. Step 4: Simplify right side
    38,657.51x = 1,213,257,472.85
  5. Step 5: Solve for x
    x = 1,213,257,472.85/38,657.51
  6. Step 6: Final answer
    x = 31,384.78

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