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Finding the Fourth Proportional to 32,054.24, 48,085.91 and 9,869.46

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Solution

The fourth proportional to 32,054.24, 48,085.91 and 9,869.46 is: 14,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.24 : 48,085.91 = 9,869.46 : x
  2. Step 2: Convert to fraction form
    32,054.24/48,085.91 = 9,869.46/x
  3. Step 3: Cross multiply
    32,054.24x = 48,085.91 × 9,869.46
  4. Step 4: Simplify right side
    32,054.24x = 474,581,965.31
  5. Step 5: Solve for x
    x = 474,581,965.31/32,054.24
  6. Step 6: Final answer
    x = 14,805.59

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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.