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Finding the Fourth Proportional to 71,641.94, 107,434.76 and 24,243.98

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Solution

The fourth proportional to 71,641.94, 107,434.76 and 24,243.98 is: 36,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.94 : 107,434.76 = 24,243.98 : x
  2. Step 2: Convert to fraction form
    71,641.94/107,434.76 = 24,243.98/x
  3. Step 3: Cross multiply
    71,641.94x = 107,434.76 × 24,243.98
  4. Step 4: Simplify right side
    71,641.94x = 2,604,645,514.35
  5. Step 5: Solve for x
    x = 2,604,645,514.35/71,641.94
  6. Step 6: Final answer
    x = 36,356.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.