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Finding the Fourth Proportional to 71,284.98, 106,927.53 and 21,370.32

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Solution

The fourth proportional to 71,284.98, 106,927.53 and 21,370.32 is: 32,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284.98 : 106,927.53 = 21,370.32 : x
  2. Step 2: Convert to fraction form
    71,284.98/106,927.53 = 21,370.32/x
  3. Step 3: Cross multiply
    71,284.98x = 106,927.53 × 21,370.32
  4. Step 4: Simplify right side
    71,284.98x = 2,285,075,532.91
  5. Step 5: Solve for x
    x = 2,285,075,532.91/71,284.98
  6. Step 6: Final answer
    x = 32,055.50

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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.