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Finding the Fourth Proportional to 35,096.96, 48,466.14 and 22,543.58

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Solution

The fourth proportional to 35,096.96, 48,466.14 and 22,543.58 is: 31,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,096.96 : 48,466.14 = 22,543.58 : x
  2. Step 2: Convert to fraction form
    35,096.96/48,466.14 = 22,543.58/x
  3. Step 3: Cross multiply
    35,096.96x = 48,466.14 × 22,543.58
  4. Step 4: Simplify right side
    35,096.96x = 1,092,600,304.38
  5. Step 5: Solve for x
    x = 1,092,600,304.38/35,096.96
  6. Step 6: Final answer
    x = 31,130.91

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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.