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Finding the Fourth Proportional to 52,053.68, 71,807.52 and 31,630.22

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Solution

The fourth proportional to 52,053.68, 71,807.52 and 31,630.22 is: 43,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.68 : 71,807.52 = 31,630.22 : x
  2. Step 2: Convert to fraction form
    52,053.68/71,807.52 = 31,630.22/x
  3. Step 3: Cross multiply
    52,053.68x = 71,807.52 × 31,630.22
  4. Step 4: Simplify right side
    52,053.68x = 2,271,287,655.25
  5. Step 5: Solve for x
    x = 2,271,287,655.25/52,053.68
  6. Step 6: Final answer
    x = 43,633.57

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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.