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Finding the Fourth Proportional to 34,206.26, 47,210.78 and 20,409.48

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Solution

The fourth proportional to 34,206.26, 47,210.78 and 20,409.48 is: 28,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.26 : 47,210.78 = 20,409.48 : x
  2. Step 2: Convert to fraction form
    34,206.26/47,210.78 = 20,409.48/x
  3. Step 3: Cross multiply
    34,206.26x = 47,210.78 × 20,409.48
  4. Step 4: Simplify right side
    34,206.26x = 963,547,521.22
  5. Step 5: Solve for x
    x = 963,547,521.22/34,206.26
  6. Step 6: Final answer
    x = 28,168.75

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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.