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Finding the Fourth Proportional to 32,073.97, 48,102.53 and 9,579.31

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Solution

The fourth proportional to 32,073.97, 48,102.53 and 9,579.31 is: 14,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073.97 : 48,102.53 = 9,579.31 : x
  2. Step 2: Convert to fraction form
    32,073.97/48,102.53 = 9,579.31/x
  3. Step 3: Cross multiply
    32,073.97x = 48,102.53 × 9,579.31
  4. Step 4: Simplify right side
    32,073.97x = 460,788,998.76
  5. Step 5: Solve for x
    x = 460,788,998.76/32,073.97
  6. Step 6: Final answer
    x = 14,366.45

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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.