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Finding the Fourth Proportional to 47,255.20, 65,200.40 and 30,468

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Solution

The fourth proportional to 47,255.20, 65,200.40 and 30,468 is: 42,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,255.20 : 65,200.40 = 30,468 : x
  2. Step 2: Convert to fraction form
    47,255.20/65,200.40 = 30,468/x
  3. Step 3: Cross multiply
    47,255.20x = 65,200.40 × 30,468
  4. Step 4: Simplify right side
    47,255.20x = 1,986,525,787.20
  5. Step 5: Solve for x
    x = 1,986,525,787.20/47,255.20
  6. Step 6: Final answer
    x = 42,038.25

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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.