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Finding the Fourth Proportional to 34,772.84, 47,980.08 and 20,435

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Solution

The fourth proportional to 34,772.84, 47,980.08 and 20,435 is: 28,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.84 : 47,980.08 = 20,435 : x
  2. Step 2: Convert to fraction form
    34,772.84/47,980.08 = 20,435/x
  3. Step 3: Cross multiply
    34,772.84x = 47,980.08 × 20,435
  4. Step 4: Simplify right side
    34,772.84x = 980,472,934.80
  5. Step 5: Solve for x
    x = 980,472,934.80/34,772.84
  6. Step 6: Final answer
    x = 28,196.52

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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.