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Finding the Fourth Proportional to 88,384.32, 132,572.16 and 32,976

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Solution

The fourth proportional to 88,384.32, 132,572.16 and 32,976 is: 49,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,384.32 : 132,572.16 = 32,976 : x
  2. Step 2: Convert to fraction form
    88,384.32/132,572.16 = 32,976/x
  3. Step 3: Cross multiply
    88,384.32x = 132,572.16 × 32,976
  4. Step 4: Simplify right side
    88,384.32x = 4,371,699,548.16
  5. Step 5: Solve for x
    x = 4,371,699,548.16/88,384.32
  6. Step 6: Final answer
    x = 49,462.39

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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.