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Finding the Fourth Proportional to 76,635.69, 114,935.31 and 24,038.34

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Solution

The fourth proportional to 76,635.69, 114,935.31 and 24,038.34 is: 36,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,635.69 : 114,935.31 = 24,038.34 : x
  2. Step 2: Convert to fraction form
    76,635.69/114,935.31 = 24,038.34/x
  3. Step 3: Cross multiply
    76,635.69x = 114,935.31 × 24,038.34
  4. Step 4: Simplify right side
    76,635.69x = 2,762,854,059.79
  5. Step 5: Solve for x
    x = 2,762,854,059.79/76,635.69
  6. Step 6: Final answer
    x = 36,051.79

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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.