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Finding the Fourth Proportional to 46,696.74, 64,440.22 and 25,476

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Solution

The fourth proportional to 46,696.74, 64,440.22 and 25,476 is: 35,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696.74 : 64,440.22 = 25,476 : x
  2. Step 2: Convert to fraction form
    46,696.74/64,440.22 = 25,476/x
  3. Step 3: Cross multiply
    46,696.74x = 64,440.22 × 25,476
  4. Step 4: Simplify right side
    46,696.74x = 1,641,679,044.72
  5. Step 5: Solve for x
    x = 1,641,679,044.72/46,696.74
  6. Step 6: Final answer
    x = 35,156.18

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