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Finding the Fourth Proportional to 103,813.48, 155,741.02 and 37,258.82

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Solution

The fourth proportional to 103,813.48, 155,741.02 and 37,258.82 is: 55,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,813.48 : 155,741.02 = 37,258.82 : x
  2. Step 2: Convert to fraction form
    103,813.48/155,741.02 = 37,258.82/x
  3. Step 3: Cross multiply
    103,813.48x = 155,741.02 × 37,258.82
  4. Step 4: Simplify right side
    103,813.48x = 5,802,726,630.80
  5. Step 5: Solve for x
    x = 5,802,726,630.80/103,813.48
  6. Step 6: Final answer
    x = 55,895.70

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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.