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Finding the Fourth Proportional to 64,838.13, 97,257.19 and 18,091

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Solution

The fourth proportional to 64,838.13, 97,257.19 and 18,091 is: 27,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,838.13 : 97,257.19 = 18,091 : x
  2. Step 2: Convert to fraction form
    64,838.13/97,257.19 = 18,091/x
  3. Step 3: Cross multiply
    64,838.13x = 97,257.19 × 18,091
  4. Step 4: Simplify right side
    64,838.13x = 1,759,479,824.29
  5. Step 5: Solve for x
    x = 1,759,479,824.29/64,838.13
  6. Step 6: Final answer
    x = 27,136.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.