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Finding the Fourth Proportional to 70,235.50, 96,926.75 and 42,640.50

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Solution

The fourth proportional to 70,235.50, 96,926.75 and 42,640.50 is: 58,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,235.50 : 96,926.75 = 42,640.50 : x
  2. Step 2: Convert to fraction form
    70,235.50/96,926.75 = 42,640.50/x
  3. Step 3: Cross multiply
    70,235.50x = 96,926.75 × 42,640.50
  4. Step 4: Simplify right side
    70,235.50x = 4,133,005,083.38
  5. Step 5: Solve for x
    x = 4,133,005,083.38/70,235.50
  6. Step 6: Final answer
    x = 58,844.96

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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.