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Finding the Fourth Proportional to 83,856.60, 115,727.74 and 46,133.28

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Solution

The fourth proportional to 83,856.60, 115,727.74 and 46,133.28 is: 63,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.60 : 115,727.74 = 46,133.28 : x
  2. Step 2: Convert to fraction form
    83,856.60/115,727.74 = 46,133.28/x
  3. Step 3: Cross multiply
    83,856.60x = 115,727.74 × 46,133.28
  4. Step 4: Simplify right side
    83,856.60x = 5,338,900,233.19
  5. Step 5: Solve for x
    x = 5,338,900,233.19/83,856.60
  6. Step 6: Final answer
    x = 63,667.02

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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.