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Finding the Fourth Proportional to 30,393.40, 45,590.10 and 8,210.20

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Solution

The fourth proportional to 30,393.40, 45,590.10 and 8,210.20 is: 12,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393.40 : 45,590.10 = 8,210.20 : x
  2. Step 2: Convert to fraction form
    30,393.40/45,590.10 = 8,210.20/x
  3. Step 3: Cross multiply
    30,393.40x = 45,590.10 × 8,210.20
  4. Step 4: Simplify right side
    30,393.40x = 374,303,839.02
  5. Step 5: Solve for x
    x = 374,303,839.02/30,393.40
  6. Step 6: Final answer
    x = 12,315.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.