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Finding the Fourth Proportional to 38,305.79, 52,847.47 and 23,763.25

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Solution

The fourth proportional to 38,305.79, 52,847.47 and 23,763.25 is: 32,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305.79 : 52,847.47 = 23,763.25 : x
  2. Step 2: Convert to fraction form
    38,305.79/52,847.47 = 23,763.25/x
  3. Step 3: Cross multiply
    38,305.79x = 52,847.47 × 23,763.25
  4. Step 4: Simplify right side
    38,305.79x = 1,255,827,641.48
  5. Step 5: Solve for x
    x = 1,255,827,641.48/38,305.79
  6. Step 6: Final answer
    x = 32,784.28

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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.