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Finding the Fourth Proportional to 84,588.21, 116,731.71 and 46,349.21

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Solution

The fourth proportional to 84,588.21, 116,731.71 and 46,349.21 is: 63,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,588.21 : 116,731.71 = 46,349.21 : x
  2. Step 2: Convert to fraction form
    84,588.21/116,731.71 = 46,349.21/x
  3. Step 3: Cross multiply
    84,588.21x = 116,731.71 × 46,349.21
  4. Step 4: Simplify right side
    84,588.21x = 5,410,421,956.79
  5. Step 5: Solve for x
    x = 5,410,421,956.79/84,588.21
  6. Step 6: Final answer
    x = 63,961.89

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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.