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Finding the Fourth Proportional to 35,602.26, 49,124 and 19,683.63

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Solution

The fourth proportional to 35,602.26, 49,124 and 19,683.63 is: 27,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.26 : 49,124 = 19,683.63 : x
  2. Step 2: Convert to fraction form
    35,602.26/49,124 = 19,683.63/x
  3. Step 3: Cross multiply
    35,602.26x = 49,124 × 19,683.63
  4. Step 4: Simplify right side
    35,602.26x = 966,938,640.12
  5. Step 5: Solve for x
    x = 966,938,640.12/35,602.26
  6. Step 6: Final answer
    x = 27,159.47

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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.