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Finding the Fourth Proportional to 76,413.78, 114,598.80 and 23,809.14

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Solution

The fourth proportional to 76,413.78, 114,598.80 and 23,809.14 is: 35,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413.78 : 114,598.80 = 23,809.14 : x
  2. Step 2: Convert to fraction form
    76,413.78/114,598.80 = 23,809.14/x
  3. Step 3: Cross multiply
    76,413.78x = 114,598.80 × 23,809.14
  4. Step 4: Simplify right side
    76,413.78x = 2,728,498,873.03
  5. Step 5: Solve for x
    x = 2,728,498,873.03/76,413.78
  6. Step 6: Final answer
    x = 35,706.90

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1.5x scale

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.