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Finding the Fourth Proportional to 32,657.12, 48,978.30 and 16,000.40

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Solution

The fourth proportional to 32,657.12, 48,978.30 and 16,000.40 is: 23,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.12 : 48,978.30 = 16,000.40 : x
  2. Step 2: Convert to fraction form
    32,657.12/48,978.30 = 16,000.40/x
  3. Step 3: Cross multiply
    32,657.12x = 48,978.30 × 16,000.40
  4. Step 4: Simplify right side
    32,657.12x = 783,672,391.32
  5. Step 5: Solve for x
    x = 783,672,391.32/32,657.12
  6. Step 6: Final answer
    x = 23,996.98

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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.