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Finding the Fourth Proportional to 53,830.62, 74,285.70 and 29,630.78

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Solution

The fourth proportional to 53,830.62, 74,285.70 and 29,630.78 is: 40,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.62 : 74,285.70 = 29,630.78 : x
  2. Step 2: Convert to fraction form
    53,830.62/74,285.70 = 29,630.78/x
  3. Step 3: Cross multiply
    53,830.62x = 74,285.70 × 29,630.78
  4. Step 4: Simplify right side
    53,830.62x = 2,201,143,233.85
  5. Step 5: Solve for x
    x = 2,201,143,233.85/53,830.62
  6. Step 6: Final answer
    x = 40,890.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.