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Finding the Fourth Proportional to 86,505.69, 129,777.34 and 26,534.40

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Solution

The fourth proportional to 86,505.69, 129,777.34 and 26,534.40 is: 39,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,505.69 : 129,777.34 = 26,534.40 : x
  2. Step 2: Convert to fraction form
    86,505.69/129,777.34 = 26,534.40/x
  3. Step 3: Cross multiply
    86,505.69x = 129,777.34 × 26,534.40
  4. Step 4: Simplify right side
    86,505.69x = 3,443,563,850.50
  5. Step 5: Solve for x
    x = 3,443,563,850.50/86,505.69
  6. Step 6: Final answer
    x = 39,807.37

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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.