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Finding the Fourth Proportional to 35,296.49, 48,709.94 and 19,381

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Solution

The fourth proportional to 35,296.49, 48,709.94 and 19,381 is: 26,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296.49 : 48,709.94 = 19,381 : x
  2. Step 2: Convert to fraction form
    35,296.49/48,709.94 = 19,381/x
  3. Step 3: Cross multiply
    35,296.49x = 48,709.94 × 19,381
  4. Step 4: Simplify right side
    35,296.49x = 944,047,347.14
  5. Step 5: Solve for x
    x = 944,047,347.14/35,296.49
  6. Step 6: Final answer
    x = 26,746.21

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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.