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Finding the Fourth Proportional to 37,029.51, 51,100.47 and 20,262.51

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Solution

The fourth proportional to 37,029.51, 51,100.47 and 20,262.51 is: 27,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029.51 : 51,100.47 = 20,262.51 : x
  2. Step 2: Convert to fraction form
    37,029.51/51,100.47 = 20,262.51/x
  3. Step 3: Cross multiply
    37,029.51x = 51,100.47 × 20,262.51
  4. Step 4: Simplify right side
    37,029.51x = 1,035,423,784.38
  5. Step 5: Solve for x
    x = 1,035,423,784.38/37,029.51
  6. Step 6: Final answer
    x = 27,962.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.