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Finding the Fourth Proportional to 109,658.93, 164,489.61 and 38,583.59

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Solution

The fourth proportional to 109,658.93, 164,489.61 and 38,583.59 is: 57,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658.93 : 164,489.61 = 38,583.59 : x
  2. Step 2: Convert to fraction form
    109,658.93/164,489.61 = 38,583.59/x
  3. Step 3: Cross multiply
    109,658.93x = 164,489.61 × 38,583.59
  4. Step 4: Simplify right side
    109,658.93x = 6,346,599,671.50
  5. Step 5: Solve for x
    x = 6,346,599,671.50/109,658.93
  6. Step 6: Final answer
    x = 57,875.81

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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.