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Finding the Fourth Proportional to 48,592.64, 72,840.22 and 16,978.16

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Solution

The fourth proportional to 48,592.64, 72,840.22 and 16,978.16 is: 25,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592.64 : 72,840.22 = 16,978.16 : x
  2. Step 2: Convert to fraction form
    48,592.64/72,840.22 = 16,978.16/x
  3. Step 3: Cross multiply
    48,592.64x = 72,840.22 × 16,978.16
  4. Step 4: Simplify right side
    48,592.64x = 1,236,692,909.60
  5. Step 5: Solve for x
    x = 1,236,692,909.60/48,592.64
  6. Step 6: Final answer
    x = 25,450.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.