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Finding the Fourth Proportional to 103,575.97, 155,366.03 and 32,497.10

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Solution

The fourth proportional to 103,575.97, 155,366.03 and 32,497.10 is: 48,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,575.97 : 155,366.03 = 32,497.10 : x
  2. Step 2: Convert to fraction form
    103,575.97/155,366.03 = 32,497.10/x
  3. Step 3: Cross multiply
    103,575.97x = 155,366.03 × 32,497.10
  4. Step 4: Simplify right side
    103,575.97x = 5,048,945,413.51
  5. Step 5: Solve for x
    x = 5,048,945,413.51/103,575.97
  6. Step 6: Final answer
    x = 48,746.30

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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.