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Finding the Fourth Proportional to 84,330, 116,373.84 and 46,603.44

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Solution

The fourth proportional to 84,330, 116,373.84 and 46,603.44 is: 64,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,330 : 116,373.84 = 46,603.44 : x
  2. Step 2: Convert to fraction form
    84,330/116,373.84 = 46,603.44/x
  3. Step 3: Cross multiply
    84,330x = 116,373.84 × 46,603.44
  4. Step 4: Simplify right side
    84,330x = 5,423,421,270.01
  5. Step 5: Solve for x
    x = 5,423,421,270.01/84,330
  6. Step 6: Final answer
    x = 64,311.89

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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.