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Finding the Fourth Proportional to 51,516, 77,245.58 and 15,967.46

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Solution

The fourth proportional to 51,516, 77,245.58 and 15,967.46 is: 23,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 77,245.58 = 15,967.46 : x
  2. Step 2: Convert to fraction form
    51,516/77,245.58 = 15,967.46/x
  3. Step 3: Cross multiply
    51,516x = 77,245.58 × 15,967.46
  4. Step 4: Simplify right side
    51,516x = 1,233,415,941.86
  5. Step 5: Solve for x
    x = 1,233,415,941.86/51,516
  6. Step 6: Final answer
    x = 23,942.39

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1.5x scale

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.