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Finding the Fourth Proportional to 38,419.70, 53,027.64 and 24,967.58

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Solution

The fourth proportional to 38,419.70, 53,027.64 and 24,967.58 is: 34,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.70 : 53,027.64 = 24,967.58 : x
  2. Step 2: Convert to fraction form
    38,419.70/53,027.64 = 24,967.58/x
  3. Step 3: Cross multiply
    38,419.70x = 53,027.64 × 24,967.58
  4. Step 4: Simplify right side
    38,419.70x = 1,323,971,578.77
  5. Step 5: Solve for x
    x = 1,323,971,578.77/38,419.70
  6. Step 6: Final answer
    x = 34,460.75

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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.