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Finding the Fourth Proportional to 101,413.95, 152,124.73 and 30,337.53

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Solution

The fourth proportional to 101,413.95, 152,124.73 and 30,337.53 is: 45,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.95 : 152,124.73 = 30,337.53 : x
  2. Step 2: Convert to fraction form
    101,413.95/152,124.73 = 30,337.53/x
  3. Step 3: Cross multiply
    101,413.95x = 152,124.73 × 30,337.53
  4. Step 4: Simplify right side
    101,413.95x = 4,615,088,560.12
  5. Step 5: Solve for x
    x = 4,615,088,560.12/101,413.95
  6. Step 6: Final answer
    x = 45,507.43

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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.