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Finding the Fourth Proportional to 34,055.84, 46,993.38 and 18,946.10

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Solution

The fourth proportional to 34,055.84, 46,993.38 and 18,946.10 is: 26,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055.84 : 46,993.38 = 18,946.10 : x
  2. Step 2: Convert to fraction form
    34,055.84/46,993.38 = 18,946.10/x
  3. Step 3: Cross multiply
    34,055.84x = 46,993.38 × 18,946.10
  4. Step 4: Simplify right side
    34,055.84x = 890,341,276.82
  5. Step 5: Solve for x
    x = 890,341,276.82/34,055.84
  6. Step 6: Final answer
    x = 26,143.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.