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Finding the Fourth Proportional to 70,596.64, 97,424.56 and 38,768.50

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Solution

The fourth proportional to 70,596.64, 97,424.56 and 38,768.50 is: 53,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596.64 : 97,424.56 = 38,768.50 : x
  2. Step 2: Convert to fraction form
    70,596.64/97,424.56 = 38,768.50/x
  3. Step 3: Cross multiply
    70,596.64x = 97,424.56 × 38,768.50
  4. Step 4: Simplify right side
    70,596.64x = 3,777,004,006.53
  5. Step 5: Solve for x
    x = 3,777,004,006.53/70,596.64
  6. Step 6: Final answer
    x = 53,501.19

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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.