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Finding the Fourth Proportional to 38,669, 57,902.64 and 21,102.56

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Solution

The fourth proportional to 38,669, 57,902.64 and 21,102.56 is: 31,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,669 : 57,902.64 = 21,102.56 : x
  2. Step 2: Convert to fraction form
    38,669/57,902.64 = 21,102.56/x
  3. Step 3: Cross multiply
    38,669x = 57,902.64 × 21,102.56
  4. Step 4: Simplify right side
    38,669x = 1,221,893,934.76
  5. Step 5: Solve for x
    x = 1,221,893,934.76/38,669
  6. Step 6: Final answer
    x = 31,598.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.