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Finding the Fourth Proportional to 76,413.36, 114,590.86 and 29,655.30

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Solution

The fourth proportional to 76,413.36, 114,590.86 and 29,655.30 is: 44,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413.36 : 114,590.86 = 29,655.30 : x
  2. Step 2: Convert to fraction form
    76,413.36/114,590.86 = 29,655.30/x
  3. Step 3: Cross multiply
    76,413.36x = 114,590.86 × 29,655.30
  4. Step 4: Simplify right side
    76,413.36x = 3,398,226,330.56
  5. Step 5: Solve for x
    x = 3,398,226,330.56/76,413.36
  6. Step 6: Final answer
    x = 44,471.63

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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.