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Finding the Fourth Proportional to 51,018, 76,531.32 and 14,082

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Solution

The fourth proportional to 51,018, 76,531.32 and 14,082 is: 21,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018 : 76,531.32 = 14,082 : x
  2. Step 2: Convert to fraction form
    51,018/76,531.32 = 14,082/x
  3. Step 3: Cross multiply
    51,018x = 76,531.32 × 14,082
  4. Step 4: Simplify right side
    51,018x = 1,077,714,048.24
  5. Step 5: Solve for x
    x = 1,077,714,048.24/51,018
  6. Step 6: Final answer
    x = 21,124.19

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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.