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Finding the Fourth Proportional to 46,941.70, 70,405.19 and 15,351.50

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Solution

The fourth proportional to 46,941.70, 70,405.19 and 15,351.50 is: 23,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,941.70 : 70,405.19 = 15,351.50 : x
  2. Step 2: Convert to fraction form
    46,941.70/70,405.19 = 15,351.50/x
  3. Step 3: Cross multiply
    46,941.70x = 70,405.19 × 15,351.50
  4. Step 4: Simplify right side
    46,941.70x = 1,080,825,274.29
  5. Step 5: Solve for x
    x = 1,080,825,274.29/46,941.70
  6. Step 6: Final answer
    x = 23,024.84

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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.