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Finding the Fourth Proportional to 32,583.64, 48,878.19 and 10,400.17

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Solution

The fourth proportional to 32,583.64, 48,878.19 and 10,400.17 is: 15,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.64 : 48,878.19 = 10,400.17 : x
  2. Step 2: Convert to fraction form
    32,583.64/48,878.19 = 10,400.17/x
  3. Step 3: Cross multiply
    32,583.64x = 48,878.19 × 10,400.17
  4. Step 4: Simplify right side
    32,583.64x = 508,341,485.29
  5. Step 5: Solve for x
    x = 508,341,485.29/32,583.64
  6. Step 6: Final answer
    x = 15,601.13

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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.