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Finding the Fourth Proportional to 37,703.75, 56,558.25 and 11,410.47

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Solution

The fourth proportional to 37,703.75, 56,558.25 and 11,410.47 is: 17,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,703.75 : 56,558.25 = 11,410.47 : x
  2. Step 2: Convert to fraction form
    37,703.75/56,558.25 = 11,410.47/x
  3. Step 3: Cross multiply
    37,703.75x = 56,558.25 × 11,410.47
  4. Step 4: Simplify right side
    37,703.75x = 645,356,214.88
  5. Step 5: Solve for x
    x = 645,356,214.88/37,703.75
  6. Step 6: Final answer
    x = 17,116.50

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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.