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Finding the Fourth Proportional to 57,867.66, 86,659.94 and 52,258

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Solution

The fourth proportional to 57,867.66, 86,659.94 and 52,258 is: 78,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867.66 : 86,659.94 = 52,258 : x
  2. Step 2: Convert to fraction form
    57,867.66/86,659.94 = 52,258/x
  3. Step 3: Cross multiply
    57,867.66x = 86,659.94 × 52,258
  4. Step 4: Simplify right side
    57,867.66x = 4,528,675,144.52
  5. Step 5: Solve for x
    x = 4,528,675,144.52/57,867.66
  6. Step 6: Final answer
    x = 78,259.17

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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.