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Finding the Fourth Proportional to 35,858.52, 53,795.04 and 15,082

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Solution

The fourth proportional to 35,858.52, 53,795.04 and 15,082 is: 22,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,858.52 : 53,795.04 = 15,082 : x
  2. Step 2: Convert to fraction form
    35,858.52/53,795.04 = 15,082/x
  3. Step 3: Cross multiply
    35,858.52x = 53,795.04 × 15,082
  4. Step 4: Simplify right side
    35,858.52x = 811,336,793.28
  5. Step 5: Solve for x
    x = 811,336,793.28/35,858.52
  6. Step 6: Final answer
    x = 22,626.05

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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.