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Finding the Fourth Proportional to 23,048.82, 34,572.69 and 6,407.10

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Solution

The fourth proportional to 23,048.82, 34,572.69 and 6,407.10 is: 9,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.82 : 34,572.69 = 6,407.10 : x
  2. Step 2: Convert to fraction form
    23,048.82/34,572.69 = 6,407.10/x
  3. Step 3: Cross multiply
    23,048.82x = 34,572.69 × 6,407.10
  4. Step 4: Simplify right side
    23,048.82x = 221,510,682.10
  5. Step 5: Solve for x
    x = 221,510,682.10/23,048.82
  6. Step 6: Final answer
    x = 9,610.50

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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.