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Finding the Fourth Proportional to 32,071.59, 48,113.87 and 9,884.07

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Solution

The fourth proportional to 32,071.59, 48,113.87 and 9,884.07 is: 14,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.59 : 48,113.87 = 9,884.07 : x
  2. Step 2: Convert to fraction form
    32,071.59/48,113.87 = 9,884.07/x
  3. Step 3: Cross multiply
    32,071.59x = 48,113.87 × 9,884.07
  4. Step 4: Simplify right side
    32,071.59x = 475,560,809.63
  5. Step 5: Solve for x
    x = 475,560,809.63/32,071.59
  6. Step 6: Final answer
    x = 14,828.10

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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.