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Finding the Fourth Proportional to 99,390.44, 137,156.32 and 56,946.24

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Solution

The fourth proportional to 99,390.44, 137,156.32 and 56,946.24 is: 78,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,390.44 : 137,156.32 = 56,946.24 : x
  2. Step 2: Convert to fraction form
    99,390.44/137,156.32 = 56,946.24/x
  3. Step 3: Cross multiply
    99,390.44x = 137,156.32 × 56,946.24
  4. Step 4: Simplify right side
    99,390.44x = 7,810,536,716.24
  5. Step 5: Solve for x
    x = 7,810,536,716.24/99,390.44
  6. Step 6: Final answer
    x = 78,584.39

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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.