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Finding the Fourth Proportional to 52,534.68, 72,521.13 and 31,321.32

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Solution

The fourth proportional to 52,534.68, 72,521.13 and 31,321.32 is: 43,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534.68 : 72,521.13 = 31,321.32 : x
  2. Step 2: Convert to fraction form
    52,534.68/72,521.13 = 31,321.32/x
  3. Step 3: Cross multiply
    52,534.68x = 72,521.13 × 31,321.32
  4. Step 4: Simplify right side
    52,534.68x = 2,271,457,519.49
  5. Step 5: Solve for x
    x = 2,271,457,519.49/52,534.68
  6. Step 6: Final answer
    x = 43,237.30

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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.