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Finding the Fourth Proportional to 32,341.69, 48,505.24 and 8,969.95

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Solution

The fourth proportional to 32,341.69, 48,505.24 and 8,969.95 is: 13,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,341.69 : 48,505.24 = 8,969.95 : x
  2. Step 2: Convert to fraction form
    32,341.69/48,505.24 = 8,969.95/x
  3. Step 3: Cross multiply
    32,341.69x = 48,505.24 × 8,969.95
  4. Step 4: Simplify right side
    32,341.69x = 435,089,577.54
  5. Step 5: Solve for x
    x = 435,089,577.54/32,341.69
  6. Step 6: Final answer
    x = 13,452.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.