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Finding the Fourth Proportional to 70,148.56, 96,802.56 and 41,839.60

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Solution

The fourth proportional to 70,148.56, 96,802.56 and 41,839.60 is: 57,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,148.56 : 96,802.56 = 41,839.60 : x
  2. Step 2: Convert to fraction form
    70,148.56/96,802.56 = 41,839.60/x
  3. Step 3: Cross multiply
    70,148.56x = 96,802.56 × 41,839.60
  4. Step 4: Simplify right side
    70,148.56x = 4,050,180,389.38
  5. Step 5: Solve for x
    x = 4,050,180,389.38/70,148.56
  6. Step 6: Final answer
    x = 57,737.19

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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.