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Finding the Fourth Proportional to 61,290.24, 84,580.38 and 35,814.12

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Solution

The fourth proportional to 61,290.24, 84,580.38 and 35,814.12 is: 49,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290.24 : 84,580.38 = 35,814.12 : x
  2. Step 2: Convert to fraction form
    61,290.24/84,580.38 = 35,814.12/x
  3. Step 3: Cross multiply
    61,290.24x = 84,580.38 × 35,814.12
  4. Step 4: Simplify right side
    61,290.24x = 3,029,171,878.97
  5. Step 5: Solve for x
    x = 3,029,171,878.97/61,290.24
  6. Step 6: Final answer
    x = 49,423.40

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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.