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Finding the Fourth Proportional to 56,716, 85,112.96 and 19,780

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Solution

The fourth proportional to 56,716, 85,112.96 and 19,780 is: 29,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,716 : 85,112.96 = 19,780 : x
  2. Step 2: Convert to fraction form
    56,716/85,112.96 = 19,780/x
  3. Step 3: Cross multiply
    56,716x = 85,112.96 × 19,780
  4. Step 4: Simplify right side
    56,716x = 1,683,534,348.80
  5. Step 5: Solve for x
    x = 1,683,534,348.80/56,716
  6. Step 6: Final answer
    x = 29,683.59

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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.