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Finding the Fourth Proportional to 35,602.63, 49,125.84 and 19,684

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Solution

The fourth proportional to 35,602.63, 49,125.84 and 19,684 is: 27,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.63 : 49,125.84 = 19,684 : x
  2. Step 2: Convert to fraction form
    35,602.63/49,125.84 = 19,684/x
  3. Step 3: Cross multiply
    35,602.63x = 49,125.84 × 19,684
  4. Step 4: Simplify right side
    35,602.63x = 966,993,034.56
  5. Step 5: Solve for x
    x = 966,993,034.56/35,602.63
  6. Step 6: Final answer
    x = 27,160.72

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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.