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Finding the Fourth Proportional to 38,925.53, 53,721.20 and 23,828.16

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Solution

The fourth proportional to 38,925.53, 53,721.20 and 23,828.16 is: 32,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925.53 : 53,721.20 = 23,828.16 : x
  2. Step 2: Convert to fraction form
    38,925.53/53,721.20 = 23,828.16/x
  3. Step 3: Cross multiply
    38,925.53x = 53,721.20 × 23,828.16
  4. Step 4: Simplify right side
    38,925.53x = 1,280,077,229.85
  5. Step 5: Solve for x
    x = 1,280,077,229.85/38,925.53
  6. Step 6: Final answer
    x = 32,885.29

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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.