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Finding the Fourth Proportional to 53,065.42, 79,592.04 and 19,786.56

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Solution

The fourth proportional to 53,065.42, 79,592.04 and 19,786.56 is: 29,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.42 : 79,592.04 = 19,786.56 : x
  2. Step 2: Convert to fraction form
    53,065.42/79,592.04 = 19,786.56/x
  3. Step 3: Cross multiply
    53,065.42x = 79,592.04 × 19,786.56
  4. Step 4: Simplify right side
    53,065.42x = 1,574,852,674.98
  5. Step 5: Solve for x
    x = 1,574,852,674.98/53,065.42
  6. Step 6: Final answer
    x = 29,677.57

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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.