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Finding the Fourth Proportional to 30,413.40, 45,620.10 and 8,230.20

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Solution

The fourth proportional to 30,413.40, 45,620.10 and 8,230.20 is: 12,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.40 : 45,620.10 = 8,230.20 : x
  2. Step 2: Convert to fraction form
    30,413.40/45,620.10 = 8,230.20/x
  3. Step 3: Cross multiply
    30,413.40x = 45,620.10 × 8,230.20
  4. Step 4: Simplify right side
    30,413.40x = 375,462,547.02
  5. Step 5: Solve for x
    x = 375,462,547.02/30,413.40
  6. Step 6: Final answer
    x = 12,345.30

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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.