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Finding the Fourth Proportional to 37,802.16, 56,698.92 and 10,098

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Solution

The fourth proportional to 37,802.16, 56,698.92 and 10,098 is: 15,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.16 : 56,698.92 = 10,098 : x
  2. Step 2: Convert to fraction form
    37,802.16/56,698.92 = 10,098/x
  3. Step 3: Cross multiply
    37,802.16x = 56,698.92 × 10,098
  4. Step 4: Simplify right side
    37,802.16x = 572,545,694.16
  5. Step 5: Solve for x
    x = 572,545,694.16/37,802.16
  6. Step 6: Final answer
    x = 15,145.85

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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.