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Finding the Fourth Proportional to 109,484.80, 164,213.02 and 34,612.50

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Solution

The fourth proportional to 109,484.80, 164,213.02 and 34,612.50 is: 51,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,484.80 : 164,213.02 = 34,612.50 : x
  2. Step 2: Convert to fraction form
    109,484.80/164,213.02 = 34,612.50/x
  3. Step 3: Cross multiply
    109,484.80x = 164,213.02 × 34,612.50
  4. Step 4: Simplify right side
    109,484.80x = 5,683,823,154.75
  5. Step 5: Solve for x
    x = 5,683,823,154.75/109,484.80
  6. Step 6: Final answer
    x = 51,914.27

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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.