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Finding the Fourth Proportional to 76,998.56, 115,501.95 and 24,412.16

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Solution

The fourth proportional to 76,998.56, 115,501.95 and 24,412.16 is: 36,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998.56 : 115,501.95 = 24,412.16 : x
  2. Step 2: Convert to fraction form
    76,998.56/115,501.95 = 24,412.16/x
  3. Step 3: Cross multiply
    76,998.56x = 115,501.95 × 24,412.16
  4. Step 4: Simplify right side
    76,998.56x = 2,819,652,083.71
  5. Step 5: Solve for x
    x = 2,819,652,083.71/76,998.56
  6. Step 6: Final answer
    x = 36,619.54

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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.