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Finding the Fourth Proportional to 46,946.28, 70,055.43 and 41,961

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Solution

The fourth proportional to 46,946.28, 70,055.43 and 41,961 is: 62,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946.28 : 70,055.43 = 41,961 : x
  2. Step 2: Convert to fraction form
    46,946.28/70,055.43 = 41,961/x
  3. Step 3: Cross multiply
    46,946.28x = 70,055.43 × 41,961
  4. Step 4: Simplify right side
    46,946.28x = 2,939,595,898.23
  5. Step 5: Solve for x
    x = 2,939,595,898.23/46,946.28
  6. Step 6: Final answer
    x = 62,616.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.