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Finding the Fourth Proportional to 84,708.99, 116,904.87 and 46,983.24

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Solution

The fourth proportional to 84,708.99, 116,904.87 and 46,983.24 is: 64,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,708.99 : 116,904.87 = 46,983.24 : x
  2. Step 2: Convert to fraction form
    84,708.99/116,904.87 = 46,983.24/x
  3. Step 3: Cross multiply
    84,708.99x = 116,904.87 × 46,983.24
  4. Step 4: Simplify right side
    84,708.99x = 5,492,569,564.38
  5. Step 5: Solve for x
    x = 5,492,569,564.38/84,708.99
  6. Step 6: Final answer
    x = 64,840.46

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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.