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Finding the Fourth Proportional to 32,597.44, 48,895.76 and 10,410.54

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Solution

The fourth proportional to 32,597.44, 48,895.76 and 10,410.54 is: 15,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.44 : 48,895.76 = 10,410.54 : x
  2. Step 2: Convert to fraction form
    32,597.44/48,895.76 = 10,410.54/x
  3. Step 3: Cross multiply
    32,597.44x = 48,895.76 × 10,410.54
  4. Step 4: Simplify right side
    32,597.44x = 509,031,265.31
  5. Step 5: Solve for x
    x = 509,031,265.31/32,597.44
  6. Step 6: Final answer
    x = 15,615.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.