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Finding the Fourth Proportional to 72,880.10, 109,378.46 and 37,829.78

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Solution

The fourth proportional to 72,880.10, 109,378.46 and 37,829.78 is: 56,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,880.10 : 109,378.46 = 37,829.78 : x
  2. Step 2: Convert to fraction form
    72,880.10/109,378.46 = 37,829.78/x
  3. Step 3: Cross multiply
    72,880.10x = 109,378.46 × 37,829.78
  4. Step 4: Simplify right side
    72,880.10x = 4,137,762,342.50
  5. Step 5: Solve for x
    x = 4,137,762,342.50/72,880.10
  6. Step 6: Final answer
    x = 56,774.93

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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.