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Finding the Fourth Proportional to 47,038.50, 64,913.04 and 25,817.31

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Solution

The fourth proportional to 47,038.50, 64,913.04 and 25,817.31 is: 35,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,038.50 : 64,913.04 = 25,817.31 : x
  2. Step 2: Convert to fraction form
    47,038.50/64,913.04 = 25,817.31/x
  3. Step 3: Cross multiply
    47,038.50x = 64,913.04 × 25,817.31
  4. Step 4: Simplify right side
    47,038.50x = 1,675,880,076.72
  5. Step 5: Solve for x
    x = 1,675,880,076.72/47,038.50
  6. Step 6: Final answer
    x = 35,627.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.