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Finding the Fourth Proportional to 32,980.16, 49,470.35 and 8,020.22

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Solution

The fourth proportional to 32,980.16, 49,470.35 and 8,020.22 is: 12,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.16 : 49,470.35 = 8,020.22 : x
  2. Step 2: Convert to fraction form
    32,980.16/49,470.35 = 8,020.22/x
  3. Step 3: Cross multiply
    32,980.16x = 49,470.35 × 8,020.22
  4. Step 4: Simplify right side
    32,980.16x = 396,762,803.02
  5. Step 5: Solve for x
    x = 396,762,803.02/32,980.16
  6. Step 6: Final answer
    x = 12,030.35

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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.