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Finding the Fourth Proportional to 86,600, 119,508.36 and 46,856

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Solution

The fourth proportional to 86,600, 119,508.36 and 46,856 is: 64,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,600 : 119,508.36 = 46,856 : x
  2. Step 2: Convert to fraction form
    86,600/119,508.36 = 46,856/x
  3. Step 3: Cross multiply
    86,600x = 119,508.36 × 46,856
  4. Step 4: Simplify right side
    86,600x = 5,599,683,716.16
  5. Step 5: Solve for x
    x = 5,599,683,716.16/86,600
  6. Step 6: Final answer
    x = 64,661.47

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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.