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Finding the Fourth Proportional to 38,064.83, 57,101.06 and 13,101.58

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Solution

The fourth proportional to 38,064.83, 57,101.06 and 13,101.58 is: 19,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064.83 : 57,101.06 = 13,101.58 : x
  2. Step 2: Convert to fraction form
    38,064.83/57,101.06 = 13,101.58/x
  3. Step 3: Cross multiply
    38,064.83x = 57,101.06 × 13,101.58
  4. Step 4: Simplify right side
    38,064.83x = 748,113,820.17
  5. Step 5: Solve for x
    x = 748,113,820.17/38,064.83
  6. Step 6: Final answer
    x = 19,653.68

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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.