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Finding the Fourth Proportional to 21,048.85, 31,573 and 6,056.36

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Solution

The fourth proportional to 21,048.85, 31,573 and 6,056.36 is: 9,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.85 : 31,573 = 6,056.36 : x
  2. Step 2: Convert to fraction form
    21,048.85/31,573 = 6,056.36/x
  3. Step 3: Cross multiply
    21,048.85x = 31,573 × 6,056.36
  4. Step 4: Simplify right side
    21,048.85x = 191,217,454.28
  5. Step 5: Solve for x
    x = 191,217,454.28/21,048.85
  6. Step 6: Final answer
    x = 9,084.46

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Why These Related Problems?

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