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Finding the Fourth Proportional to 38,852.87, 53,617.16 and 22,945.16

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Solution

The fourth proportional to 38,852.87, 53,617.16 and 22,945.16 is: 31,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852.87 : 53,617.16 = 22,945.16 : x
  2. Step 2: Convert to fraction form
    38,852.87/53,617.16 = 22,945.16/x
  3. Step 3: Cross multiply
    38,852.87x = 53,617.16 × 22,945.16
  4. Step 4: Simplify right side
    38,852.87x = 1,230,254,506.35
  5. Step 5: Solve for x
    x = 1,230,254,506.35/38,852.87
  6. Step 6: Final answer
    x = 31,664.45

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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.