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Finding the Fourth Proportional to 52,537.10, 72,450.62 and 35,348.19

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Solution

The fourth proportional to 52,537.10, 72,450.62 and 35,348.19 is: 48,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.10 : 72,450.62 = 35,348.19 : x
  2. Step 2: Convert to fraction form
    52,537.10/72,450.62 = 35,348.19/x
  3. Step 3: Cross multiply
    52,537.10x = 72,450.62 × 35,348.19
  4. Step 4: Simplify right side
    52,537.10x = 2,560,997,742.38
  5. Step 5: Solve for x
    x = 2,560,997,742.38/52,537.10
  6. Step 6: Final answer
    x = 48,746.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.