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Finding the Fourth Proportional to 97,823.22, 134,947.98 and 63,816

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Solution

The fourth proportional to 97,823.22, 134,947.98 and 63,816 is: 88,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,823.22 : 134,947.98 = 63,816 : x
  2. Step 2: Convert to fraction form
    97,823.22/134,947.98 = 63,816/x
  3. Step 3: Cross multiply
    97,823.22x = 134,947.98 × 63,816
  4. Step 4: Simplify right side
    97,823.22x = 8,611,840,291.68
  5. Step 5: Solve for x
    x = 8,611,840,291.68/97,823.22
  6. Step 6: Final answer
    x = 88,034.73

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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.