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Finding the Fourth Proportional to 52,982.59, 73,083.53 and 31,457.72

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Solution

The fourth proportional to 52,982.59, 73,083.53 and 31,457.72 is: 43,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982.59 : 73,083.53 = 31,457.72 : x
  2. Step 2: Convert to fraction form
    52,982.59/73,083.53 = 31,457.72/x
  3. Step 3: Cross multiply
    52,982.59x = 73,083.53 × 31,457.72
  4. Step 4: Simplify right side
    52,982.59x = 2,299,041,223.35
  5. Step 5: Solve for x
    x = 2,299,041,223.35/52,982.59
  6. Step 6: Final answer
    x = 43,392.39

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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.