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Finding the Fourth Proportional to 75,465.50, 113,214.60 and 22,878.95

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Solution

The fourth proportional to 75,465.50, 113,214.60 and 22,878.95 is: 34,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465.50 : 113,214.60 = 22,878.95 : x
  2. Step 2: Convert to fraction form
    75,465.50/113,214.60 = 22,878.95/x
  3. Step 3: Cross multiply
    75,465.50x = 113,214.60 × 22,878.95
  4. Step 4: Simplify right side
    75,465.50x = 2,590,230,606.60
  5. Step 5: Solve for x
    x = 2,590,230,606.60/75,465.50
  6. Step 6: Final answer
    x = 34,323.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.