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Finding the Fourth Proportional to 40,097, 60,145.75 and 10,514.57

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Solution

The fourth proportional to 40,097, 60,145.75 and 10,514.57 is: 15,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097 : 60,145.75 = 10,514.57 : x
  2. Step 2: Convert to fraction form
    40,097/60,145.75 = 10,514.57/x
  3. Step 3: Cross multiply
    40,097x = 60,145.75 × 10,514.57
  4. Step 4: Simplify right side
    40,097x = 632,406,698.58
  5. Step 5: Solve for x
    x = 632,406,698.58/40,097
  6. Step 6: Final answer
    x = 15,771.92

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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.