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Finding the Fourth Proportional to 70,305.99, 97,022.01 and 38,040.51

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Solution

The fourth proportional to 70,305.99, 97,022.01 and 38,040.51 is: 52,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305.99 : 97,022.01 = 38,040.51 : x
  2. Step 2: Convert to fraction form
    70,305.99/97,022.01 = 38,040.51/x
  3. Step 3: Cross multiply
    70,305.99x = 97,022.01 × 38,040.51
  4. Step 4: Simplify right side
    70,305.99x = 3,690,766,741.63
  5. Step 5: Solve for x
    x = 3,690,766,741.63/70,305.99
  6. Step 6: Final answer
    x = 52,495.77

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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.