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Finding the Fourth Proportional to 91,496.36, 137,225.34 and 25,817

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Solution

The fourth proportional to 91,496.36, 137,225.34 and 25,817 is: 38,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,496.36 : 137,225.34 = 25,817 : x
  2. Step 2: Convert to fraction form
    91,496.36/137,225.34 = 25,817/x
  3. Step 3: Cross multiply
    91,496.36x = 137,225.34 × 25,817
  4. Step 4: Simplify right side
    91,496.36x = 3,542,746,602.78
  5. Step 5: Solve for x
    x = 3,542,746,602.78/91,496.36
  6. Step 6: Final answer
    x = 38,720.08

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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.