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Finding the Fourth Proportional to 89,056.76, 122,898.36 and 48,773

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Solution

The fourth proportional to 89,056.76, 122,898.36 and 48,773 is: 67,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,056.76 : 122,898.36 = 48,773 : x
  2. Step 2: Convert to fraction form
    89,056.76/122,898.36 = 48,773/x
  3. Step 3: Cross multiply
    89,056.76x = 122,898.36 × 48,773
  4. Step 4: Simplify right side
    89,056.76x = 5,994,121,712.28
  5. Step 5: Solve for x
    x = 5,994,121,712.28/89,056.76
  6. Step 6: Final answer
    x = 67,306.76

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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.