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Finding the Fourth Proportional to 109,856.44, 164,784.61 and 34,999.53

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Solution

The fourth proportional to 109,856.44, 164,784.61 and 34,999.53 is: 52,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,856.44 : 164,784.61 = 34,999.53 : x
  2. Step 2: Convert to fraction form
    109,856.44/164,784.61 = 34,999.53/x
  3. Step 3: Cross multiply
    109,856.44x = 164,784.61 × 34,999.53
  4. Step 4: Simplify right side
    109,856.44x = 5,767,383,901.23
  5. Step 5: Solve for x
    x = 5,767,383,901.23/109,856.44
  6. Step 6: Final answer
    x = 52,499.28

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1.5x scale

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.