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Finding the Fourth Proportional to 32,058.13, 48,091.74 and 9,873.31

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Solution

The fourth proportional to 32,058.13, 48,091.74 and 9,873.31 is: 14,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.13 : 48,091.74 = 9,873.31 : x
  2. Step 2: Convert to fraction form
    32,058.13/48,091.74 = 9,873.31/x
  3. Step 3: Cross multiply
    32,058.13x = 48,091.74 × 9,873.31
  4. Step 4: Simplify right side
    32,058.13x = 474,824,657.46
  5. Step 5: Solve for x
    x = 474,824,657.46/32,058.13
  6. Step 6: Final answer
    x = 14,811.36

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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.