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Finding the Fourth Proportional to 109,945.18, 164,877.98 and 46,769.50

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Solution

The fourth proportional to 109,945.18, 164,877.98 and 46,769.50 is: 70,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,945.18 : 164,877.98 = 46,769.50 : x
  2. Step 2: Convert to fraction form
    109,945.18/164,877.98 = 46,769.50/x
  3. Step 3: Cross multiply
    109,945.18x = 164,877.98 × 46,769.50
  4. Step 4: Simplify right side
    109,945.18x = 7,711,260,685.61
  5. Step 5: Solve for x
    x = 7,711,260,685.61/109,945.18
  6. Step 6: Final answer
    x = 70,137.32

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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.