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Finding the Fourth Proportional to 76,015.34, 114,023.00 and 23,424.82

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Solution

The fourth proportional to 76,015.34, 114,023.00 and 23,424.82 is: 35,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015.34 : 114,023.00 = 23,424.82 : x
  2. Step 2: Convert to fraction form
    76,015.34/114,023.00 = 23,424.82/x
  3. Step 3: Cross multiply
    76,015.34x = 114,023.00 × 23,424.82
  4. Step 4: Simplify right side
    76,015.34x = 2,670,968,378.00
  5. Step 5: Solve for x
    x = 2,670,968,378.00/76,015.34
  6. Step 6: Final answer
    x = 35,137.23

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1.5x scale

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.