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Finding the Fourth Proportional to 76,035.88, 114,069 and 23,443.36

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Solution

The fourth proportional to 76,035.88, 114,069 and 23,443.36 is: 35,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,035.88 : 114,069 = 23,443.36 : x
  2. Step 2: Convert to fraction form
    76,035.88/114,069 = 23,443.36/x
  3. Step 3: Cross multiply
    76,035.88x = 114,069 × 23,443.36
  4. Step 4: Simplify right side
    76,035.88x = 2,674,160,631.84
  5. Step 5: Solve for x
    x = 2,674,160,631.84/76,035.88
  6. Step 6: Final answer
    x = 35,169.72

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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.