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Finding the Fourth Proportional to 35,816.58, 53,724.78 and 9,521.31

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Solution

The fourth proportional to 35,816.58, 53,724.78 and 9,521.31 is: 14,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,816.58 : 53,724.78 = 9,521.31 : x
  2. Step 2: Convert to fraction form
    35,816.58/53,724.78 = 9,521.31/x
  3. Step 3: Cross multiply
    35,816.58x = 53,724.78 × 9,521.31
  4. Step 4: Simplify right side
    35,816.58x = 511,530,285.06
  5. Step 5: Solve for x
    x = 511,530,285.06/35,816.58
  6. Step 6: Final answer
    x = 14,281.94

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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.