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Finding the Fourth Proportional to 38,423.50, 53,068.17 and 25,826.38

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Solution

The fourth proportional to 38,423.50, 53,068.17 and 25,826.38 is: 35,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.50 : 53,068.17 = 25,826.38 : x
  2. Step 2: Convert to fraction form
    38,423.50/53,068.17 = 25,826.38/x
  3. Step 3: Cross multiply
    38,423.50x = 53,068.17 × 25,826.38
  4. Step 4: Simplify right side
    38,423.50x = 1,370,558,724.32
  5. Step 5: Solve for x
    x = 1,370,558,724.32/38,423.50
  6. Step 6: Final answer
    x = 35,669.80

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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.