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Finding the Fourth Proportional to 85,263.75, 117,663.98 and 47,538

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Solution

The fourth proportional to 85,263.75, 117,663.98 and 47,538 is: 65,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,263.75 : 117,663.98 = 47,538 : x
  2. Step 2: Convert to fraction form
    85,263.75/117,663.98 = 47,538/x
  3. Step 3: Cross multiply
    85,263.75x = 117,663.98 × 47,538
  4. Step 4: Simplify right side
    85,263.75x = 5,593,510,043.55
  5. Step 5: Solve for x
    x = 5,593,510,043.55/85,263.75
  6. Step 6: Final answer
    x = 65,602.44

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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.