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Finding the Fourth Proportional to 86,514, 119,389.48 and 46,770

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Solution

The fourth proportional to 86,514, 119,389.48 and 46,770 is: 64,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,514 : 119,389.48 = 46,770 : x
  2. Step 2: Convert to fraction form
    86,514/119,389.48 = 46,770/x
  3. Step 3: Cross multiply
    86,514x = 119,389.48 × 46,770
  4. Step 4: Simplify right side
    86,514x = 5,583,845,979.60
  5. Step 5: Solve for x
    x = 5,583,845,979.60/86,514
  6. Step 6: Final answer
    x = 64,542.69

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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.