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Finding the Fourth Proportional to 109,484.74, 164,212.95 and 34,612.42

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Solution

The fourth proportional to 109,484.74, 164,212.95 and 34,612.42 is: 51,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,484.74 : 164,212.95 = 34,612.42 : x
  2. Step 2: Convert to fraction form
    109,484.74/164,212.95 = 34,612.42/x
  3. Step 3: Cross multiply
    109,484.74x = 164,212.95 × 34,612.42
  4. Step 4: Simplify right side
    109,484.74x = 5,683,807,594.84
  5. Step 5: Solve for x
    x = 5,683,807,594.84/109,484.74
  6. Step 6: Final answer
    x = 51,914.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.