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Finding the Fourth Proportional to 51,393.63, 77,074.02 and 16,325.10

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Solution

The fourth proportional to 51,393.63, 77,074.02 and 16,325.10 is: 24,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,393.63 : 77,074.02 = 16,325.10 : x
  2. Step 2: Convert to fraction form
    51,393.63/77,074.02 = 16,325.10/x
  3. Step 3: Cross multiply
    51,393.63x = 77,074.02 × 16,325.10
  4. Step 4: Simplify right side
    51,393.63x = 1,258,241,083.90
  5. Step 5: Solve for x
    x = 1,258,241,083.90/51,393.63
  6. Step 6: Final answer
    x = 24,482.43

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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.