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Finding the Fourth Proportional to 31,007.40, 46,413.90 and 22,259.40

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Solution

The fourth proportional to 31,007.40, 46,413.90 and 22,259.40 is: 33,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.40 : 46,413.90 = 22,259.40 : x
  2. Step 2: Convert to fraction form
    31,007.40/46,413.90 = 22,259.40/x
  3. Step 3: Cross multiply
    31,007.40x = 46,413.90 × 22,259.40
  4. Step 4: Simplify right side
    31,007.40x = 1,033,145,565.66
  5. Step 5: Solve for x
    x = 1,033,145,565.66/31,007.40
  6. Step 6: Final answer
    x = 33,319.32

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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.