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Finding the Fourth Proportional to 51,686.84, 71,322.26 and 29,028.28

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Solution

The fourth proportional to 51,686.84, 71,322.26 and 29,028.28 is: 40,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,686.84 : 71,322.26 = 29,028.28 : x
  2. Step 2: Convert to fraction form
    51,686.84/71,322.26 = 29,028.28/x
  3. Step 3: Cross multiply
    51,686.84x = 71,322.26 × 29,028.28
  4. Step 4: Simplify right side
    51,686.84x = 2,070,362,533.51
  5. Step 5: Solve for x
    x = 2,070,362,533.51/51,686.84
  6. Step 6: Final answer
    x = 40,055.89

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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.