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Finding the Fourth Proportional to 88,700, 122,406.16 and 48,956

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Solution

The fourth proportional to 88,700, 122,406.16 and 48,956 is: 67,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,700 : 122,406.16 = 48,956 : x
  2. Step 2: Convert to fraction form
    88,700/122,406.16 = 48,956/x
  3. Step 3: Cross multiply
    88,700x = 122,406.16 × 48,956
  4. Step 4: Simplify right side
    88,700x = 5,992,515,968.96
  5. Step 5: Solve for x
    x = 5,992,515,968.96/88,700
  6. Step 6: Final answer
    x = 67,559.37

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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.