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Finding the Fourth Proportional to 70,839.15, 97,768.65 and 53,815.38

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Solution

The fourth proportional to 70,839.15, 97,768.65 and 53,815.38 is: 74,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,839.15 : 97,768.65 = 53,815.38 : x
  2. Step 2: Convert to fraction form
    70,839.15/97,768.65 = 53,815.38/x
  3. Step 3: Cross multiply
    70,839.15x = 97,768.65 × 53,815.38
  4. Step 4: Simplify right side
    70,839.15x = 5,261,457,051.84
  5. Step 5: Solve for x
    x = 5,261,457,051.84/70,839.15
  6. Step 6: Final answer
    x = 74,273.29

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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.