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Finding the Fourth Proportional to 37,130.79, 51,335.74 and 28,164.09

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Solution

The fourth proportional to 37,130.79, 51,335.74 and 28,164.09 is: 38,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,130.79 : 51,335.74 = 28,164.09 : x
  2. Step 2: Convert to fraction form
    37,130.79/51,335.74 = 28,164.09/x
  3. Step 3: Cross multiply
    37,130.79x = 51,335.74 × 28,164.09
  4. Step 4: Simplify right side
    37,130.79x = 1,445,824,401.58
  5. Step 5: Solve for x
    x = 1,445,824,401.58/37,130.79
  6. Step 6: Final answer
    x = 38,938.69

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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.