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Finding the Fourth Proportional to 37,813.72, 56,720.58 and 10,111

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Solution

The fourth proportional to 37,813.72, 56,720.58 and 10,111 is: 15,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.72 : 56,720.58 = 10,111 : x
  2. Step 2: Convert to fraction form
    37,813.72/56,720.58 = 10,111/x
  3. Step 3: Cross multiply
    37,813.72x = 56,720.58 × 10,111
  4. Step 4: Simplify right side
    37,813.72x = 573,501,784.38
  5. Step 5: Solve for x
    x = 573,501,784.38/37,813.72
  6. Step 6: Final answer
    x = 15,166.50

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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.