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Finding the Fourth Proportional to 61,870.47, 92,686.32 and 36,930.48

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Solution

The fourth proportional to 61,870.47, 92,686.32 and 36,930.48 is: 55,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,870.47 : 92,686.32 = 36,930.48 : x
  2. Step 2: Convert to fraction form
    61,870.47/92,686.32 = 36,930.48/x
  3. Step 3: Cross multiply
    61,870.47x = 92,686.32 × 36,930.48
  4. Step 4: Simplify right side
    61,870.47x = 3,422,950,287.03
  5. Step 5: Solve for x
    x = 3,422,950,287.03/61,870.47
  6. Step 6: Final answer
    x = 55,324.46

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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.