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Finding the Fourth Proportional to 46,896, 70,361.28 and 24,708.48

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Solution

The fourth proportional to 46,896, 70,361.28 and 24,708.48 is: 37,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896 : 70,361.28 = 24,708.48 : x
  2. Step 2: Convert to fraction form
    46,896/70,361.28 = 24,708.48/x
  3. Step 3: Cross multiply
    46,896x = 70,361.28 × 24,708.48
  4. Step 4: Simplify right side
    46,896x = 1,738,520,279.65
  5. Step 5: Solve for x
    x = 1,738,520,279.65/46,896
  6. Step 6: Final answer
    x = 37,071.82

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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.