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Finding the Fourth Proportional to 56,413.38, 77,855.92 and 31,262.88

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Solution

The fourth proportional to 56,413.38, 77,855.92 and 31,262.88 is: 43,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.38 : 77,855.92 = 31,262.88 : x
  2. Step 2: Convert to fraction form
    56,413.38/77,855.92 = 31,262.88/x
  3. Step 3: Cross multiply
    56,413.38x = 77,855.92 × 31,262.88
  4. Step 4: Simplify right side
    56,413.38x = 2,434,000,284.25
  5. Step 5: Solve for x
    x = 2,434,000,284.25/56,413.38
  6. Step 6: Final answer
    x = 43,145.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.