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Finding the Fourth Proportional to 78,584.40, 117,905.02 and 48,563.50

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Solution

The fourth proportional to 78,584.40, 117,905.02 and 48,563.50 is: 72,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584.40 : 117,905.02 = 48,563.50 : x
  2. Step 2: Convert to fraction form
    78,584.40/117,905.02 = 48,563.50/x
  3. Step 3: Cross multiply
    78,584.40x = 117,905.02 × 48,563.50
  4. Step 4: Simplify right side
    78,584.40x = 5,725,880,438.77
  5. Step 5: Solve for x
    x = 5,725,880,438.77/78,584.40
  6. Step 6: Final answer
    x = 72,862.81

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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.