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Finding the Fourth Proportional to 34,210.64, 47,210.74 and 20,778.32

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Solution

The fourth proportional to 34,210.64, 47,210.74 and 20,778.32 is: 28,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210.64 : 47,210.74 = 20,778.32 : x
  2. Step 2: Convert to fraction form
    34,210.64/47,210.74 = 20,778.32/x
  3. Step 3: Cross multiply
    34,210.64x = 47,210.74 × 20,778.32
  4. Step 4: Simplify right side
    34,210.64x = 980,959,863.16
  5. Step 5: Solve for x
    x = 980,959,863.16/34,210.64
  6. Step 6: Final answer
    x = 28,674.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.