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Finding the Fourth Proportional to 32,307.84, 44,582.54 and 18,162.81

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Solution

The fourth proportional to 32,307.84, 44,582.54 and 18,162.81 is: 25,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.84 : 44,582.54 = 18,162.81 : x
  2. Step 2: Convert to fraction form
    32,307.84/44,582.54 = 18,162.81/x
  3. Step 3: Cross multiply
    32,307.84x = 44,582.54 × 18,162.81
  4. Step 4: Simplify right side
    32,307.84x = 809,744,112.52
  5. Step 5: Solve for x
    x = 809,744,112.52/32,307.84
  6. Step 6: Final answer
    x = 25,063.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.