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Finding the Fourth Proportional to 78,263.47, 107,883.75 and 47,992.66

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Solution

The fourth proportional to 78,263.47, 107,883.75 and 47,992.66 is: 66,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,263.47 : 107,883.75 = 47,992.66 : x
  2. Step 2: Convert to fraction form
    78,263.47/107,883.75 = 47,992.66/x
  3. Step 3: Cross multiply
    78,263.47x = 107,883.75 × 47,992.66
  4. Step 4: Simplify right side
    78,263.47x = 5,177,628,133.28
  5. Step 5: Solve for x
    x = 5,177,628,133.28/78,263.47
  6. Step 6: Final answer
    x = 66,156.38

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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.