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Finding the Fourth Proportional to 35,784.41, 49,348.51 and 21,442.14

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Solution

The fourth proportional to 35,784.41, 49,348.51 and 21,442.14 is: 29,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.41 : 49,348.51 = 21,442.14 : x
  2. Step 2: Convert to fraction form
    35,784.41/49,348.51 = 21,442.14/x
  3. Step 3: Cross multiply
    35,784.41x = 49,348.51 × 21,442.14
  4. Step 4: Simplify right side
    35,784.41x = 1,058,137,606.61
  5. Step 5: Solve for x
    x = 1,058,137,606.61/35,784.41
  6. Step 6: Final answer
    x = 29,569.80

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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.