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Finding the Fourth Proportional to 32,341.51, 48,512.40 and 8,966.26

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Solution

The fourth proportional to 32,341.51, 48,512.40 and 8,966.26 is: 13,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,341.51 : 48,512.40 = 8,966.26 : x
  2. Step 2: Convert to fraction form
    32,341.51/48,512.40 = 8,966.26/x
  3. Step 3: Cross multiply
    32,341.51x = 48,512.40 × 8,966.26
  4. Step 4: Simplify right side
    32,341.51x = 434,974,791.62
  5. Step 5: Solve for x
    x = 434,974,791.62/32,341.51
  6. Step 6: Final answer
    x = 13,449.43

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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.