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Finding the Fourth Proportional to 84,417.04, 116,481.72 and 46,684

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Solution

The fourth proportional to 84,417.04, 116,481.72 and 46,684 is: 64,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,417.04 : 116,481.72 = 46,684 : x
  2. Step 2: Convert to fraction form
    84,417.04/116,481.72 = 46,684/x
  3. Step 3: Cross multiply
    84,417.04x = 116,481.72 × 46,684
  4. Step 4: Simplify right side
    84,417.04x = 5,437,832,616.48
  5. Step 5: Solve for x
    x = 5,437,832,616.48/84,417.04
  6. Step 6: Final answer
    x = 64,416.29

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