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Finding the Fourth Proportional to 37,804.52, 56,709.01 and 9,724.86

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Solution

The fourth proportional to 37,804.52, 56,709.01 and 9,724.86 is: 14,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.52 : 56,709.01 = 9,724.86 : x
  2. Step 2: Convert to fraction form
    37,804.52/56,709.01 = 9,724.86/x
  3. Step 3: Cross multiply
    37,804.52x = 56,709.01 × 9,724.86
  4. Step 4: Simplify right side
    37,804.52x = 551,487,195.14
  5. Step 5: Solve for x
    x = 551,487,195.14/37,804.52
  6. Step 6: Final answer
    x = 14,587.86

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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.