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Finding the Fourth Proportional to 53,096, 79,644 and 16,160

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Solution

The fourth proportional to 53,096, 79,644 and 16,160 is: 24,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,096 : 79,644 = 16,160 : x
  2. Step 2: Convert to fraction form
    53,096/79,644 = 16,160/x
  3. Step 3: Cross multiply
    53,096x = 79,644 × 16,160
  4. Step 4: Simplify right side
    53,096x = 1,287,047,040
  5. Step 5: Solve for x
    x = 1,287,047,040/53,096
  6. Step 6: Final answer
    x = 24,240

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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.