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Finding the Fourth Proportional to 82,222.76, 113,467.75 and 46,413.20

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Solution

The fourth proportional to 82,222.76, 113,467.75 and 46,413.20 is: 64,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.76 : 113,467.75 = 46,413.20 : x
  2. Step 2: Convert to fraction form
    82,222.76/113,467.75 = 46,413.20/x
  3. Step 3: Cross multiply
    82,222.76x = 113,467.75 × 46,413.20
  4. Step 4: Simplify right side
    82,222.76x = 5,266,400,690.93
  5. Step 5: Solve for x
    x = 5,266,400,690.93/82,222.76
  6. Step 6: Final answer
    x = 64,050.40

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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.