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Finding the Fourth Proportional to 110,489, 165,733.50 and 36,617

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Solution

The fourth proportional to 110,489, 165,733.50 and 36,617 is: 54,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,489 : 165,733.50 = 36,617 : x
  2. Step 2: Convert to fraction form
    110,489/165,733.50 = 36,617/x
  3. Step 3: Cross multiply
    110,489x = 165,733.50 × 36,617
  4. Step 4: Simplify right side
    110,489x = 6,068,663,569.50
  5. Step 5: Solve for x
    x = 6,068,663,569.50/110,489
  6. Step 6: Final answer
    x = 54,925.50

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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.