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Finding the Fourth Proportional to 83,770.62, 115,603.84 and 46,047.30

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Solution

The fourth proportional to 83,770.62, 115,603.84 and 46,047.30 is: 63,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770.62 : 115,603.84 = 46,047.30 : x
  2. Step 2: Convert to fraction form
    83,770.62/115,603.84 = 46,047.30/x
  3. Step 3: Cross multiply
    83,770.62x = 115,603.84 × 46,047.30
  4. Step 4: Simplify right side
    83,770.62x = 5,323,244,701.63
  5. Step 5: Solve for x
    x = 5,323,244,701.63/83,770.62
  6. Step 6: Final answer
    x = 63,545.49

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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.