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Finding the Fourth Proportional to 86,566.50, 119,461.77 and 61,459.74

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Solution

The fourth proportional to 86,566.50, 119,461.77 and 61,459.74 is: 84,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,566.50 : 119,461.77 = 61,459.74 : x
  2. Step 2: Convert to fraction form
    86,566.50/119,461.77 = 61,459.74/x
  3. Step 3: Cross multiply
    86,566.50x = 119,461.77 × 61,459.74
  4. Step 4: Simplify right side
    86,566.50x = 7,342,089,324.14
  5. Step 5: Solve for x
    x = 7,342,089,324.14/86,566.50
  6. Step 6: Final answer
    x = 84,814.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.