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Finding the Fourth Proportional to 70,517.09, 97,316.12 and 38,686.93

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Solution

The fourth proportional to 70,517.09, 97,316.12 and 38,686.93 is: 53,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,517.09 : 97,316.12 = 38,686.93 : x
  2. Step 2: Convert to fraction form
    70,517.09/97,316.12 = 38,686.93/x
  3. Step 3: Cross multiply
    70,517.09x = 97,316.12 × 38,686.93
  4. Step 4: Simplify right side
    70,517.09x = 3,764,861,922.31
  5. Step 5: Solve for x
    x = 3,764,861,922.31/70,517.09
  6. Step 6: Final answer
    x = 53,389.35

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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.