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Finding the Fourth Proportional to 97,493.96, 134,552.94 and 59,255.48

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Solution

The fourth proportional to 97,493.96, 134,552.94 and 59,255.48 is: 81,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,493.96 : 134,552.94 = 59,255.48 : x
  2. Step 2: Convert to fraction form
    97,493.96/134,552.94 = 59,255.48/x
  3. Step 3: Cross multiply
    97,493.96x = 134,552.94 × 59,255.48
  4. Step 4: Simplify right side
    97,493.96x = 7,972,999,045.11
  5. Step 5: Solve for x
    x = 7,972,999,045.11/97,493.96
  6. Step 6: Final answer
    x = 81,779.42

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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.