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Finding the Fourth Proportional to 32,088.81, 48,115.59 and 9,896.03

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Solution

The fourth proportional to 32,088.81, 48,115.59 and 9,896.03 is: 14,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088.81 : 48,115.59 = 9,896.03 : x
  2. Step 2: Convert to fraction form
    32,088.81/48,115.59 = 9,896.03/x
  3. Step 3: Cross multiply
    32,088.81x = 48,115.59 × 9,896.03
  4. Step 4: Simplify right side
    32,088.81x = 476,153,081.53
  5. Step 5: Solve for x
    x = 476,153,081.53/32,088.81
  6. Step 6: Final answer
    x = 14,838.60

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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.