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Finding the Fourth Proportional to 97,498.98, 134,551.06 and 59,794.02

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Solution

The fourth proportional to 97,498.98, 134,551.06 and 59,794.02 is: 82,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.98 : 134,551.06 = 59,794.02 : x
  2. Step 2: Convert to fraction form
    97,498.98/134,551.06 = 59,794.02/x
  3. Step 3: Cross multiply
    97,498.98x = 134,551.06 × 59,794.02
  4. Step 4: Simplify right side
    97,498.98x = 8,045,348,772.66
  5. Step 5: Solve for x
    x = 8,045,348,772.66/97,498.98
  6. Step 6: Final answer
    x = 82,517.26

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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.