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Finding the Fourth Proportional to 75,783.76, 113,671.60 and 23,193.28

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Solution

The fourth proportional to 75,783.76, 113,671.60 and 23,193.28 is: 34,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783.76 : 113,671.60 = 23,193.28 : x
  2. Step 2: Convert to fraction form
    75,783.76/113,671.60 = 23,193.28/x
  3. Step 3: Cross multiply
    75,783.76x = 113,671.60 × 23,193.28
  4. Step 4: Simplify right side
    75,783.76x = 2,636,417,246.85
  5. Step 5: Solve for x
    x = 2,636,417,246.85/75,783.76
  6. Step 6: Final answer
    x = 34,788.68

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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.