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Finding the Fourth Proportional to 70,214.88, 96,896.54 and 38,384.01

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Solution

The fourth proportional to 70,214.88, 96,896.54 and 38,384.01 is: 52,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214.88 : 96,896.54 = 38,384.01 : x
  2. Step 2: Convert to fraction form
    70,214.88/96,896.54 = 38,384.01/x
  3. Step 3: Cross multiply
    70,214.88x = 96,896.54 × 38,384.01
  4. Step 4: Simplify right side
    70,214.88x = 3,719,277,083.92
  5. Step 5: Solve for x
    x = 3,719,277,083.92/70,214.88
  6. Step 6: Final answer
    x = 52,969.93

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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.