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Finding the Fourth Proportional to 84,366, 116,427.51 and 46,642.68

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Solution

The fourth proportional to 84,366, 116,427.51 and 46,642.68 is: 64,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,366 : 116,427.51 = 46,642.68 : x
  2. Step 2: Convert to fraction form
    84,366/116,427.51 = 46,642.68/x
  3. Step 3: Cross multiply
    84,366x = 116,427.51 × 46,642.68
  4. Step 4: Simplify right side
    84,366x = 5,430,491,092.13
  5. Step 5: Solve for x
    x = 5,430,491,092.13/84,366
  6. Step 6: Final answer
    x = 64,368.24

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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.