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Finding the Fourth Proportional to 53,706.94, 74,115.54 and 29,835.84

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Solution

The fourth proportional to 53,706.94, 74,115.54 and 29,835.84 is: 41,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.94 : 74,115.54 = 29,835.84 : x
  2. Step 2: Convert to fraction form
    53,706.94/74,115.54 = 29,835.84/x
  3. Step 3: Cross multiply
    53,706.94x = 74,115.54 × 29,835.84
  4. Step 4: Simplify right side
    53,706.94x = 2,211,299,392.95
  5. Step 5: Solve for x
    x = 2,211,299,392.95/53,706.94
  6. Step 6: Final answer
    x = 41,173.44

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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.