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Finding the Fourth Proportional to 37,648.76, 56,478.04 and 11,356.16

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Solution

The fourth proportional to 37,648.76, 56,478.04 and 11,356.16 is: 17,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.76 : 56,478.04 = 11,356.16 : x
  2. Step 2: Convert to fraction form
    37,648.76/56,478.04 = 11,356.16/x
  3. Step 3: Cross multiply
    37,648.76x = 56,478.04 × 11,356.16
  4. Step 4: Simplify right side
    37,648.76x = 641,373,658.73
  5. Step 5: Solve for x
    x = 641,373,658.73/37,648.76
  6. Step 6: Final answer
    x = 17,035.72

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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.