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Finding the Fourth Proportional to 76,856.03, 106,043.24 and 46,640.66

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Solution

The fourth proportional to 76,856.03, 106,043.24 and 46,640.66 is: 64,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,856.03 : 106,043.24 = 46,640.66 : x
  2. Step 2: Convert to fraction form
    76,856.03/106,043.24 = 46,640.66/x
  3. Step 3: Cross multiply
    76,856.03x = 106,043.24 × 46,640.66
  4. Step 4: Simplify right side
    76,856.03x = 4,945,926,702.14
  5. Step 5: Solve for x
    x = 4,945,926,702.14/76,856.03
  6. Step 6: Final answer
    x = 64,353.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.