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Finding the Fourth Proportional to 75,762.82, 113,656.99 and 23,160

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Solution

The fourth proportional to 75,762.82, 113,656.99 and 23,160 is: 34,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.82 : 113,656.99 = 23,160 : x
  2. Step 2: Convert to fraction form
    75,762.82/113,656.99 = 23,160/x
  3. Step 3: Cross multiply
    75,762.82x = 113,656.99 × 23,160
  4. Step 4: Simplify right side
    75,762.82x = 2,632,295,830.50
  5. Step 5: Solve for x
    x = 2,632,295,830.50/75,762.82
  6. Step 6: Final answer
    x = 34,743.90

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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.