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Finding the Fourth Proportional to 38,971.02, 53,767.32 and 23,847.90

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Solution

The fourth proportional to 38,971.02, 53,767.32 and 23,847.90 is: 32,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.02 : 53,767.32 = 23,847.90 : x
  2. Step 2: Convert to fraction form
    38,971.02/53,767.32 = 23,847.90/x
  3. Step 3: Cross multiply
    38,971.02x = 53,767.32 × 23,847.90
  4. Step 4: Simplify right side
    38,971.02x = 1,282,237,670.63
  5. Step 5: Solve for x
    x = 1,282,237,670.63/38,971.02
  6. Step 6: Final answer
    x = 32,902.34

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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.