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Finding the Fourth Proportional to 101,413.61, 152,124.27 and 30,337.25

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Solution

The fourth proportional to 101,413.61, 152,124.27 and 30,337.25 is: 45,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.61 : 152,124.27 = 30,337.25 : x
  2. Step 2: Convert to fraction form
    101,413.61/152,124.27 = 30,337.25/x
  3. Step 3: Cross multiply
    101,413.61x = 152,124.27 × 30,337.25
  4. Step 4: Simplify right side
    101,413.61x = 4,615,031,249.44
  5. Step 5: Solve for x
    x = 4,615,031,249.44/101,413.61
  6. Step 6: Final answer
    x = 45,507.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.