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Finding the Fourth Proportional to 35,878.32, 49,502.88 and 21,726

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Solution

The fourth proportional to 35,878.32, 49,502.88 and 21,726 is: 29,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.32 : 49,502.88 = 21,726 : x
  2. Step 2: Convert to fraction form
    35,878.32/49,502.88 = 21,726/x
  3. Step 3: Cross multiply
    35,878.32x = 49,502.88 × 21,726
  4. Step 4: Simplify right side
    35,878.32x = 1,075,499,570.88
  5. Step 5: Solve for x
    x = 1,075,499,570.88/35,878.32
  6. Step 6: Final answer
    x = 29,976.31

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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.