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Finding the Fourth Proportional to 109,384.59, 164,071.41 and 42,836.92

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Solution

The fourth proportional to 109,384.59, 164,071.41 and 42,836.92 is: 64,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,384.59 : 164,071.41 = 42,836.92 : x
  2. Step 2: Convert to fraction form
    109,384.59/164,071.41 = 42,836.92/x
  3. Step 3: Cross multiply
    109,384.59x = 164,071.41 × 42,836.92
  4. Step 4: Simplify right side
    109,384.59x = 7,028,313,293.64
  5. Step 5: Solve for x
    x = 7,028,313,293.64/109,384.59
  6. Step 6: Final answer
    x = 64,253.23

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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.