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Finding the Fourth Proportional to 97,284.75, 145,927.17 and 23,412.75

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Solution

The fourth proportional to 97,284.75, 145,927.17 and 23,412.75 is: 35,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284.75 : 145,927.17 = 23,412.75 : x
  2. Step 2: Convert to fraction form
    97,284.75/145,927.17 = 23,412.75/x
  3. Step 3: Cross multiply
    97,284.75x = 145,927.17 × 23,412.75
  4. Step 4: Simplify right side
    97,284.75x = 3,416,556,349.42
  5. Step 5: Solve for x
    x = 3,416,556,349.42/97,284.75
  6. Step 6: Final answer
    x = 35,119.14

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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.