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Finding the Fourth Proportional to 76,705.99, 115,065.63 and 23,409.96

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Solution

The fourth proportional to 76,705.99, 115,065.63 and 23,409.96 is: 35,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.99 : 115,065.63 = 23,409.96 : x
  2. Step 2: Convert to fraction form
    76,705.99/115,065.63 = 23,409.96/x
  3. Step 3: Cross multiply
    76,705.99x = 115,065.63 × 23,409.96
  4. Step 4: Simplify right side
    76,705.99x = 2,693,681,184.51
  5. Step 5: Solve for x
    x = 2,693,681,184.51/76,705.99
  6. Step 6: Final answer
    x = 35,116.96

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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.