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Finding the Fourth Proportional to 32,000, 44,160 and 18,752

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Solution

The fourth proportional to 32,000, 44,160 and 18,752 is: 25,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000 : 44,160 = 18,752 : x
  2. Step 2: Convert to fraction form
    32,000/44,160 = 18,752/x
  3. Step 3: Cross multiply
    32,000x = 44,160 × 18,752
  4. Step 4: Simplify right side
    32,000x = 828,088,320
  5. Step 5: Solve for x
    x = 828,088,320/32,000
  6. Step 6: Final answer
    x = 25,877.76

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Why These Related Problems?

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