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Finding the Fourth Proportional to 53,532.84, 73,872.38 and 29,658.08

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Solution

The fourth proportional to 53,532.84, 73,872.38 and 29,658.08 is: 40,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,532.84 : 73,872.38 = 29,658.08 : x
  2. Step 2: Convert to fraction form
    53,532.84/73,872.38 = 29,658.08/x
  3. Step 3: Cross multiply
    53,532.84x = 73,872.38 × 29,658.08
  4. Step 4: Simplify right side
    53,532.84x = 2,190,912,955.83
  5. Step 5: Solve for x
    x = 2,190,912,955.83/53,532.84
  6. Step 6: Final answer
    x = 40,926.52

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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.