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Finding the Fourth Proportional to 53,097.84, 79,599.24 and 21,913.20

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Solution

The fourth proportional to 53,097.84, 79,599.24 and 21,913.20 is: 32,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,097.84 : 79,599.24 = 21,913.20 : x
  2. Step 2: Convert to fraction form
    53,097.84/79,599.24 = 21,913.20/x
  3. Step 3: Cross multiply
    53,097.84x = 79,599.24 × 21,913.20
  4. Step 4: Simplify right side
    53,097.84x = 1,744,274,065.97
  5. Step 5: Solve for x
    x = 1,744,274,065.97/53,097.84
  6. Step 6: Final answer
    x = 32,850.19

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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.