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Finding the Fourth Proportional to 52,814.34, 72,881.67 and 31,605.30

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Solution

The fourth proportional to 52,814.34, 72,881.67 and 31,605.30 is: 43,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814.34 : 72,881.67 = 31,605.30 : x
  2. Step 2: Convert to fraction form
    52,814.34/72,881.67 = 31,605.30/x
  3. Step 3: Cross multiply
    52,814.34x = 72,881.67 × 31,605.30
  4. Step 4: Simplify right side
    52,814.34x = 2,303,447,044.85
  5. Step 5: Solve for x
    x = 2,303,447,044.85/52,814.34
  6. Step 6: Final answer
    x = 43,614.05

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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.