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Finding the Fourth Proportional to 52,810, 72,866.46 and 31,306.53

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Solution

The fourth proportional to 52,810, 72,866.46 and 31,306.53 is: 43,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,810 : 72,866.46 = 31,306.53 : x
  2. Step 2: Convert to fraction form
    52,810/72,866.46 = 31,306.53/x
  3. Step 3: Cross multiply
    52,810x = 72,866.46 × 31,306.53
  4. Step 4: Simplify right side
    52,810x = 2,281,196,015.98
  5. Step 5: Solve for x
    x = 2,281,196,015.98/52,810
  6. Step 6: Final answer
    x = 43,196.29

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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.