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Finding the Fourth Proportional to 23,468.31, 35,180.55 and 7,875

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Solution

The fourth proportional to 23,468.31, 35,180.55 and 7,875 is: 11,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.31 : 35,180.55 = 7,875 : x
  2. Step 2: Convert to fraction form
    23,468.31/35,180.55 = 7,875/x
  3. Step 3: Cross multiply
    23,468.31x = 35,180.55 × 7,875
  4. Step 4: Simplify right side
    23,468.31x = 277,046,831.25
  5. Step 5: Solve for x
    x = 277,046,831.25/23,468.31
  6. Step 6: Final answer
    x = 11,805.15

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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.