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Finding the Fourth Proportional to 35,818.92, 53,731.08 and 9,523.08

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Solution

The fourth proportional to 35,818.92, 53,731.08 and 9,523.08 is: 14,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,818.92 : 53,731.08 = 9,523.08 : x
  2. Step 2: Convert to fraction form
    35,818.92/53,731.08 = 9,523.08/x
  3. Step 3: Cross multiply
    35,818.92x = 53,731.08 × 9,523.08
  4. Step 4: Simplify right side
    35,818.92x = 511,685,373.33
  5. Step 5: Solve for x
    x = 511,685,373.33/35,818.92
  6. Step 6: Final answer
    x = 14,285.34

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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.