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Finding the Fourth Proportional to 34,524.94, 47,642.38 and 19,211.08

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Solution

The fourth proportional to 34,524.94, 47,642.38 and 19,211.08 is: 26,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.94 : 47,642.38 = 19,211.08 : x
  2. Step 2: Convert to fraction form
    34,524.94/47,642.38 = 19,211.08/x
  3. Step 3: Cross multiply
    34,524.94x = 47,642.38 × 19,211.08
  4. Step 4: Simplify right side
    34,524.94x = 915,261,573.57
  5. Step 5: Solve for x
    x = 915,261,573.57/34,524.94
  6. Step 6: Final answer
    x = 26,510.16

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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.