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Finding the Fourth Proportional to 51,731.36, 71,387.32 and 29,071.32

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Solution

The fourth proportional to 51,731.36, 71,387.32 and 29,071.32 is: 40,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,731.36 : 71,387.32 = 29,071.32 : x
  2. Step 2: Convert to fraction form
    51,731.36/71,387.32 = 29,071.32/x
  3. Step 3: Cross multiply
    51,731.36x = 71,387.32 × 29,071.32
  4. Step 4: Simplify right side
    51,731.36x = 2,075,323,623.66
  5. Step 5: Solve for x
    x = 2,075,323,623.66/51,731.36
  6. Step 6: Final answer
    x = 40,117.32

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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.