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Finding the Fourth Proportional to 51,485.80, 71,051.16 and 31,343.54

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Solution

The fourth proportional to 51,485.80, 71,051.16 and 31,343.54 is: 43,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,485.80 : 71,051.16 = 31,343.54 : x
  2. Step 2: Convert to fraction form
    51,485.80/71,051.16 = 31,343.54/x
  3. Step 3: Cross multiply
    51,485.80x = 71,051.16 × 31,343.54
  4. Step 4: Simplify right side
    51,485.80x = 2,226,994,875.51
  5. Step 5: Solve for x
    x = 2,226,994,875.51/51,485.80
  6. Step 6: Final answer
    x = 43,254.55

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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.