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Finding the Fourth Proportional to 51,062, 76,597.32 and 14,126

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Solution

The fourth proportional to 51,062, 76,597.32 and 14,126 is: 21,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,062 : 76,597.32 = 14,126 : x
  2. Step 2: Convert to fraction form
    51,062/76,597.32 = 14,126/x
  3. Step 3: Cross multiply
    51,062x = 76,597.32 × 14,126
  4. Step 4: Simplify right side
    51,062x = 1,082,013,742.32
  5. Step 5: Solve for x
    x = 1,082,013,742.32/51,062
  6. Step 6: Final answer
    x = 21,190.20

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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.