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Finding the Fourth Proportional to 40,952.34, 56,514 and 23,047.64

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Solution

The fourth proportional to 40,952.34, 56,514 and 23,047.64 is: 31,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,952.34 : 56,514 = 23,047.64 : x
  2. Step 2: Convert to fraction form
    40,952.34/56,514 = 23,047.64/x
  3. Step 3: Cross multiply
    40,952.34x = 56,514 × 23,047.64
  4. Step 4: Simplify right side
    40,952.34x = 1,302,514,326.96
  5. Step 5: Solve for x
    x = 1,302,514,326.96/40,952.34
  6. Step 6: Final answer
    x = 31,805.61

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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.