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Finding the Fourth Proportional to 32,210.25, 48,316.74 and 8,836.68

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Solution

The fourth proportional to 32,210.25, 48,316.74 and 8,836.68 is: 13,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.25 : 48,316.74 = 8,836.68 : x
  2. Step 2: Convert to fraction form
    32,210.25/48,316.74 = 8,836.68/x
  3. Step 3: Cross multiply
    32,210.25x = 48,316.74 × 8,836.68
  4. Step 4: Simplify right side
    32,210.25x = 426,959,570.02
  5. Step 5: Solve for x
    x = 426,959,570.02/32,210.25
  6. Step 6: Final answer
    x = 13,255.39

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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.