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Finding the Fourth Proportional to 37,698, 52,255.14 and 37,070.52

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Solution

The fourth proportional to 37,698, 52,255.14 and 37,070.52 is: 51,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698 : 52,255.14 = 37,070.52 : x
  2. Step 2: Convert to fraction form
    37,698/52,255.14 = 37,070.52/x
  3. Step 3: Cross multiply
    37,698x = 52,255.14 × 37,070.52
  4. Step 4: Simplify right side
    37,698x = 1,937,125,212.47
  5. Step 5: Solve for x
    x = 1,937,125,212.47/37,698
  6. Step 6: Final answer
    x = 51,385.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.