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Finding the Fourth Proportional to 51,117, 76,675.52 and 14,181

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Solution

The fourth proportional to 51,117, 76,675.52 and 14,181 is: 21,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117 : 76,675.52 = 14,181 : x
  2. Step 2: Convert to fraction form
    51,117/76,675.52 = 14,181/x
  3. Step 3: Cross multiply
    51,117x = 76,675.52 × 14,181
  4. Step 4: Simplify right side
    51,117x = 1,087,335,549.12
  5. Step 5: Solve for x
    x = 1,087,335,549.12/51,117
  6. Step 6: Final answer
    x = 21,271.51

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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.