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Finding the Fourth Proportional to 32,055.24, 48,087.41 and 9,870.46

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Solution

The fourth proportional to 32,055.24, 48,087.41 and 9,870.46 is: 14,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,055.24 : 48,087.41 = 9,870.46 : x
  2. Step 2: Convert to fraction form
    32,055.24/48,087.41 = 9,870.46/x
  3. Step 3: Cross multiply
    32,055.24x = 48,087.41 × 9,870.46
  4. Step 4: Simplify right side
    32,055.24x = 474,644,856.91
  5. Step 5: Solve for x
    x = 474,644,856.91/32,055.24
  6. Step 6: Final answer
    x = 14,807.09

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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.