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Finding the Fourth Proportional to 70,727.58, 97,603.38 and 38,897.82

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Solution

The fourth proportional to 70,727.58, 97,603.38 and 38,897.82 is: 53,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,727.58 : 97,603.38 = 38,897.82 : x
  2. Step 2: Convert to fraction form
    70,727.58/97,603.38 = 38,897.82/x
  3. Step 3: Cross multiply
    70,727.58x = 97,603.38 × 38,897.82
  4. Step 4: Simplify right side
    70,727.58x = 3,796,558,706.63
  5. Step 5: Solve for x
    x = 3,796,558,706.63/70,727.58
  6. Step 6: Final answer
    x = 53,678.62

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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.