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Finding the Fourth Proportional to 84,318.52, 116,358.42 and 46,593.40

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Solution

The fourth proportional to 84,318.52, 116,358.42 and 46,593.40 is: 64,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,318.52 : 116,358.42 = 46,593.40 : x
  2. Step 2: Convert to fraction form
    84,318.52/116,358.42 = 46,593.40/x
  3. Step 3: Cross multiply
    84,318.52x = 116,358.42 × 46,593.40
  4. Step 4: Simplify right side
    84,318.52x = 5,421,534,406.43
  5. Step 5: Solve for x
    x = 5,421,534,406.43/84,318.52
  6. Step 6: Final answer
    x = 64,298.26

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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.