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Finding the Fourth Proportional to 56,412.75, 84,658.02 and 19,476.75

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Solution

The fourth proportional to 56,412.75, 84,658.02 and 19,476.75 is: 29,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412.75 : 84,658.02 = 19,476.75 : x
  2. Step 2: Convert to fraction form
    56,412.75/84,658.02 = 19,476.75/x
  3. Step 3: Cross multiply
    56,412.75x = 84,658.02 × 19,476.75
  4. Step 4: Simplify right side
    56,412.75x = 1,648,863,091.04
  5. Step 5: Solve for x
    x = 1,648,863,091.04/56,412.75
  6. Step 6: Final answer
    x = 29,228.55

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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.