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Finding the Fourth Proportional to 53,857.85, 74,326.77 and 29,984.00

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Solution

The fourth proportional to 53,857.85, 74,326.77 and 29,984.00 is: 41,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.85 : 74,326.77 = 29,984.00 : x
  2. Step 2: Convert to fraction form
    53,857.85/74,326.77 = 29,984.00/x
  3. Step 3: Cross multiply
    53,857.85x = 74,326.77 × 29,984.00
  4. Step 4: Simplify right side
    53,857.85x = 2,228,613,500.05
  5. Step 5: Solve for x
    x = 2,228,613,500.05/53,857.85
  6. Step 6: Final answer
    x = 41,379.55

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1.5x scale

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.