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Finding the Fourth Proportional to 37,125, 55,686.42 and 13,750.92

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Solution

The fourth proportional to 37,125, 55,686.42 and 13,750.92 is: 20,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125 : 55,686.42 = 13,750.92 : x
  2. Step 2: Convert to fraction form
    37,125/55,686.42 = 13,750.92/x
  3. Step 3: Cross multiply
    37,125x = 55,686.42 × 13,750.92
  4. Step 4: Simplify right side
    37,125x = 765,739,506.51
  5. Step 5: Solve for x
    x = 765,739,506.51/37,125
  6. Step 6: Final answer
    x = 20,625.98

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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.