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Finding the Fourth Proportional to 84,162.83, 116,145.11 and 46,437.08

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Solution

The fourth proportional to 84,162.83, 116,145.11 and 46,437.08 is: 64,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162.83 : 116,145.11 = 46,437.08 : x
  2. Step 2: Convert to fraction form
    84,162.83/116,145.11 = 46,437.08/x
  3. Step 3: Cross multiply
    84,162.83x = 116,145.11 × 46,437.08
  4. Step 4: Simplify right side
    84,162.83x = 5,393,439,532.49
  5. Step 5: Solve for x
    x = 5,393,439,532.49/84,162.83
  6. Step 6: Final answer
    x = 64,083.39

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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.