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Finding the Fourth Proportional to 78,583.40, 117,903.52 and 48,562.50

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Solution

The fourth proportional to 78,583.40, 117,903.52 and 48,562.50 is: 72,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,583.40 : 117,903.52 = 48,562.50 : x
  2. Step 2: Convert to fraction form
    78,583.40/117,903.52 = 48,562.50/x
  3. Step 3: Cross multiply
    78,583.40x = 117,903.52 × 48,562.50
  4. Step 4: Simplify right side
    78,583.40x = 5,725,688,857.67
  5. Step 5: Solve for x
    x = 5,725,688,857.67/78,583.40
  6. Step 6: Final answer
    x = 72,861.31

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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.