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Finding the Fourth Proportional to 65,427, 98,141.46 and 16,179

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Solution

The fourth proportional to 65,427, 98,141.46 and 16,179 is: 24,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427 : 98,141.46 = 16,179 : x
  2. Step 2: Convert to fraction form
    65,427/98,141.46 = 16,179/x
  3. Step 3: Cross multiply
    65,427x = 98,141.46 × 16,179
  4. Step 4: Simplify right side
    65,427x = 1,587,830,681.34
  5. Step 5: Solve for x
    x = 1,587,830,681.34/65,427
  6. Step 6: Final answer
    x = 24,268.74

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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.