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Finding the Fourth Proportional to 38,742.69, 53,465.70 and 21,748.16

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Solution

The fourth proportional to 38,742.69, 53,465.70 and 21,748.16 is: 30,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742.69 : 53,465.70 = 21,748.16 : x
  2. Step 2: Convert to fraction form
    38,742.69/53,465.70 = 21,748.16/x
  3. Step 3: Cross multiply
    38,742.69x = 53,465.70 × 21,748.16
  4. Step 4: Simplify right side
    38,742.69x = 1,162,780,464.45
  5. Step 5: Solve for x
    x = 1,162,780,464.45/38,742.69
  6. Step 6: Final answer
    x = 30,012.90

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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.