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Finding the Fourth Proportional to 70,647.34, 97,493.25 and 38,816.16

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Solution

The fourth proportional to 70,647.34, 97,493.25 and 38,816.16 is: 53,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647.34 : 97,493.25 = 38,816.16 : x
  2. Step 2: Convert to fraction form
    70,647.34/97,493.25 = 38,816.16/x
  3. Step 3: Cross multiply
    70,647.34x = 97,493.25 × 38,816.16
  4. Step 4: Simplify right side
    70,647.34x = 3,784,313,590.92
  5. Step 5: Solve for x
    x = 3,784,313,590.92/70,647.34
  6. Step 6: Final answer
    x = 53,566.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.