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Finding the Fourth Proportional to 71,039.86, 98,047.70 and 42,361.38

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Solution

The fourth proportional to 71,039.86, 98,047.70 and 42,361.38 is: 58,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,039.86 : 98,047.70 = 42,361.38 : x
  2. Step 2: Convert to fraction form
    71,039.86/98,047.70 = 42,361.38/x
  3. Step 3: Cross multiply
    71,039.86x = 98,047.70 × 42,361.38
  4. Step 4: Simplify right side
    71,039.86x = 4,153,435,877.83
  5. Step 5: Solve for x
    x = 4,153,435,877.83/71,039.86
  6. Step 6: Final answer
    x = 58,466.27

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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.