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Finding the Fourth Proportional to 109,093.41, 163,657.55 and 38,036.50

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Solution

The fourth proportional to 109,093.41, 163,657.55 and 38,036.50 is: 57,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,093.41 : 163,657.55 = 38,036.50 : x
  2. Step 2: Convert to fraction form
    109,093.41/163,657.55 = 38,036.50/x
  3. Step 3: Cross multiply
    109,093.41x = 163,657.55 × 38,036.50
  4. Step 4: Simplify right side
    109,093.41x = 6,224,959,801.25
  5. Step 5: Solve for x
    x = 6,224,959,801.25/109,093.41
  6. Step 6: Final answer
    x = 57,060.82

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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.