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Finding the Fourth Proportional to 70,882.16, 106,338.49 and 35,362.58

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Solution

The fourth proportional to 70,882.16, 106,338.49 and 35,362.58 is: 53,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.16 : 106,338.49 = 35,362.58 : x
  2. Step 2: Convert to fraction form
    70,882.16/106,338.49 = 35,362.58/x
  3. Step 3: Cross multiply
    70,882.16x = 106,338.49 × 35,362.58
  4. Step 4: Simplify right side
    70,882.16x = 3,760,402,739.61
  5. Step 5: Solve for x
    x = 3,760,402,739.61/70,882.16
  6. Step 6: Final answer
    x = 53,051.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.