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Finding the Fourth Proportional to 32,308.75, 48,462.54 and 17,611.21

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Solution

The fourth proportional to 32,308.75, 48,462.54 and 17,611.21 is: 26,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.75 : 48,462.54 = 17,611.21 : x
  2. Step 2: Convert to fraction form
    32,308.75/48,462.54 = 17,611.21/x
  3. Step 3: Cross multiply
    32,308.75x = 48,462.54 × 17,611.21
  4. Step 4: Simplify right side
    32,308.75x = 853,483,969.07
  5. Step 5: Solve for x
    x = 853,483,969.07/32,308.75
  6. Step 6: Final answer
    x = 26,416.50

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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.