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Finding the Fourth Proportional to 32,058.28, 48,087.78 and 9,871.48

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Solution

The fourth proportional to 32,058.28, 48,087.78 and 9,871.48 is: 14,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.28 : 48,087.78 = 9,871.48 : x
  2. Step 2: Convert to fraction form
    32,058.28/48,087.78 = 9,871.48/x
  3. Step 3: Cross multiply
    32,058.28x = 48,087.78 × 9,871.48
  4. Step 4: Simplify right side
    32,058.28x = 474,697,558.51
  5. Step 5: Solve for x
    x = 474,697,558.51/32,058.28
  6. Step 6: Final answer
    x = 14,807.33

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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.