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Finding the Fourth Proportional to 103,701.93, 155,585.19 and 37,142.64

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Solution

The fourth proportional to 103,701.93, 155,585.19 and 37,142.64 is: 55,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,701.93 : 155,585.19 = 37,142.64 : x
  2. Step 2: Convert to fraction form
    103,701.93/155,585.19 = 37,142.64/x
  3. Step 3: Cross multiply
    103,701.93x = 155,585.19 × 37,142.64
  4. Step 4: Simplify right side
    103,701.93x = 5,778,844,701.50
  5. Step 5: Solve for x
    x = 5,778,844,701.50/103,701.93
  6. Step 6: Final answer
    x = 55,725.53

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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.