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Finding the Fourth Proportional to 70,357.50, 97,093.38 and 38,092.13

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Solution

The fourth proportional to 70,357.50, 97,093.38 and 38,092.13 is: 52,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357.50 : 97,093.38 = 38,092.13 : x
  2. Step 2: Convert to fraction form
    70,357.50/97,093.38 = 38,092.13/x
  3. Step 3: Cross multiply
    70,357.50x = 97,093.38 × 38,092.13
  4. Step 4: Simplify right side
    70,357.50x = 3,698,493,167.63
  5. Step 5: Solve for x
    x = 3,698,493,167.63/70,357.50
  6. Step 6: Final answer
    x = 52,567.15

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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.