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Finding the Fourth Proportional to 38,792.56, 53,520.96 and 22,656.16

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Solution

The fourth proportional to 38,792.56, 53,520.96 and 22,656.16 is: 31,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,792.56 : 53,520.96 = 22,656.16 : x
  2. Step 2: Convert to fraction form
    38,792.56/53,520.96 = 22,656.16/x
  3. Step 3: Cross multiply
    38,792.56x = 53,520.96 × 22,656.16
  4. Step 4: Simplify right side
    38,792.56x = 1,212,579,433.11
  5. Step 5: Solve for x
    x = 1,212,579,433.11/38,792.56
  6. Step 6: Final answer
    x = 31,258.04

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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.