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Finding the Fourth Proportional to 52,698.24, 72,716.40 and 31,473

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Solution

The fourth proportional to 52,698.24, 72,716.40 and 31,473 is: 43,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,698.24 : 72,716.40 = 31,473 : x
  2. Step 2: Convert to fraction form
    52,698.24/72,716.40 = 31,473/x
  3. Step 3: Cross multiply
    52,698.24x = 72,716.40 × 31,473
  4. Step 4: Simplify right side
    52,698.24x = 2,288,603,257.20
  5. Step 5: Solve for x
    x = 2,288,603,257.20/52,698.24
  6. Step 6: Final answer
    x = 43,428.46

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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.