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Finding the Fourth Proportional to 84,695.63, 116,880.17 and 46,977.17

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Solution

The fourth proportional to 84,695.63, 116,880.17 and 46,977.17 is: 64,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,695.63 : 116,880.17 = 46,977.17 : x
  2. Step 2: Convert to fraction form
    84,695.63/116,880.17 = 46,977.17/x
  3. Step 3: Cross multiply
    84,695.63x = 116,880.17 × 46,977.17
  4. Step 4: Simplify right side
    84,695.63x = 5,490,698,796.43
  5. Step 5: Solve for x
    x = 5,490,698,796.43/84,695.63
  6. Step 6: Final answer
    x = 64,828.60

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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.