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Finding the Fourth Proportional to 38,663.68, 53,350.90 and 22,742.32

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Solution

The fourth proportional to 38,663.68, 53,350.90 and 22,742.32 is: 31,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663.68 : 53,350.90 = 22,742.32 : x
  2. Step 2: Convert to fraction form
    38,663.68/53,350.90 = 22,742.32/x
  3. Step 3: Cross multiply
    38,663.68x = 53,350.90 × 22,742.32
  4. Step 4: Simplify right side
    38,663.68x = 1,213,323,240.09
  5. Step 5: Solve for x
    x = 1,213,323,240.09/38,663.68
  6. Step 6: Final answer
    x = 31,381.47

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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.