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Finding the Fourth Proportional to 35,603.63, 49,127.22 and 19,685

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Solution

The fourth proportional to 35,603.63, 49,127.22 and 19,685 is: 27,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,603.63 : 49,127.22 = 19,685 : x
  2. Step 2: Convert to fraction form
    35,603.63/49,127.22 = 19,685/x
  3. Step 3: Cross multiply
    35,603.63x = 49,127.22 × 19,685
  4. Step 4: Simplify right side
    35,603.63x = 967,069,325.70
  5. Step 5: Solve for x
    x = 967,069,325.70/35,603.63
  6. Step 6: Final answer
    x = 27,162.10

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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.