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Finding the Fourth Proportional to 39,564, 54,598.32 and 22,802.40

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Solution

The fourth proportional to 39,564, 54,598.32 and 22,802.40 is: 31,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 54,598.32 = 22,802.40 : x
  2. Step 2: Convert to fraction form
    39,564/54,598.32 = 22,802.40/x
  3. Step 3: Cross multiply
    39,564x = 54,598.32 × 22,802.40
  4. Step 4: Simplify right side
    39,564x = 1,244,972,731.97
  5. Step 5: Solve for x
    x = 1,244,972,731.97/39,564
  6. Step 6: Final answer
    x = 31,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.