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Finding the Fourth Proportional to 23,075.91, 34,613.36 and 6,435.50

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Solution

The fourth proportional to 23,075.91, 34,613.36 and 6,435.50 is: 9,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.91 : 34,613.36 = 6,435.50 : x
  2. Step 2: Convert to fraction form
    23,075.91/34,613.36 = 6,435.50/x
  3. Step 3: Cross multiply
    23,075.91x = 34,613.36 × 6,435.50
  4. Step 4: Simplify right side
    23,075.91x = 222,754,105.21
  5. Step 5: Solve for x
    x = 222,754,105.21/23,075.91
  6. Step 6: Final answer
    x = 9,653.10

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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.