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Finding the Fourth Proportional to 38,925.46, 53,721.11 and 23,828.10

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Solution

The fourth proportional to 38,925.46, 53,721.11 and 23,828.10 is: 32,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925.46 : 53,721.11 = 23,828.10 : x
  2. Step 2: Convert to fraction form
    38,925.46/53,721.11 = 23,828.10/x
  3. Step 3: Cross multiply
    38,925.46x = 53,721.11 × 23,828.10
  4. Step 4: Simplify right side
    38,925.46x = 1,280,071,981.19
  5. Step 5: Solve for x
    x = 1,280,071,981.19/38,925.46
  6. Step 6: Final answer
    x = 32,885.21

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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.