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Finding the Fourth Proportional to 65,869.38, 90,877.32 and 37,185.66

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Solution

The fourth proportional to 65,869.38, 90,877.32 and 37,185.66 is: 51,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,869.38 : 90,877.32 = 37,185.66 : x
  2. Step 2: Convert to fraction form
    65,869.38/90,877.32 = 37,185.66/x
  3. Step 3: Cross multiply
    65,869.38x = 90,877.32 × 37,185.66
  4. Step 4: Simplify right side
    65,869.38x = 3,379,333,123.23
  5. Step 5: Solve for x
    x = 3,379,333,123.23/65,869.38
  6. Step 6: Final answer
    x = 51,303.55

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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.