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Finding the Fourth Proportional to 38,435, 53,084.04 and 25,837.88

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Solution

The fourth proportional to 38,435, 53,084.04 and 25,837.88 is: 35,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435 : 53,084.04 = 25,837.88 : x
  2. Step 2: Convert to fraction form
    38,435/53,084.04 = 25,837.88/x
  3. Step 3: Cross multiply
    38,435x = 53,084.04 × 25,837.88
  4. Step 4: Simplify right side
    38,435x = 1,371,579,055.44
  5. Step 5: Solve for x
    x = 1,371,579,055.44/38,435
  6. Step 6: Final answer
    x = 35,685.68

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1.5x scale

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.