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Finding the Fourth Proportional to 35,707.80, 49,278.32 and 19,792.27

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Solution

The fourth proportional to 35,707.80, 49,278.32 and 19,792.27 is: 27,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707.80 : 49,278.32 = 19,792.27 : x
  2. Step 2: Convert to fraction form
    35,707.80/49,278.32 = 19,792.27/x
  3. Step 3: Cross multiply
    35,707.80x = 49,278.32 × 19,792.27
  4. Step 4: Simplify right side
    35,707.80x = 975,329,685.58
  5. Step 5: Solve for x
    x = 975,329,685.58/35,707.80
  6. Step 6: Final answer
    x = 27,314.19

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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.