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Finding the Fourth Proportional to 35,881.32, 49,507.02 and 21,729

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Solution

The fourth proportional to 35,881.32, 49,507.02 and 21,729 is: 29,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.32 : 49,507.02 = 21,729 : x
  2. Step 2: Convert to fraction form
    35,881.32/49,507.02 = 21,729/x
  3. Step 3: Cross multiply
    35,881.32x = 49,507.02 × 21,729
  4. Step 4: Simplify right side
    35,881.32x = 1,075,738,037.58
  5. Step 5: Solve for x
    x = 1,075,738,037.58/35,881.32
  6. Step 6: Final answer
    x = 29,980.45

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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.