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Finding the Fourth Proportional to 37,938.35, 52,300.51 and 29,858

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Solution

The fourth proportional to 37,938.35, 52,300.51 and 29,858 is: 41,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,938.35 : 52,300.51 = 29,858 : x
  2. Step 2: Convert to fraction form
    37,938.35/52,300.51 = 29,858/x
  3. Step 3: Cross multiply
    37,938.35x = 52,300.51 × 29,858
  4. Step 4: Simplify right side
    37,938.35x = 1,561,588,627.58
  5. Step 5: Solve for x
    x = 1,561,588,627.58/37,938.35
  6. Step 6: Final answer
    x = 41,161.22

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