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Finding the Fourth Proportional to 100,726.42, 150,886.88 and 46,614.82

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Solution

The fourth proportional to 100,726.42, 150,886.88 and 46,614.82 is: 69,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,726.42 : 150,886.88 = 46,614.82 : x
  2. Step 2: Convert to fraction form
    100,726.42/150,886.88 = 46,614.82/x
  3. Step 3: Cross multiply
    100,726.42x = 150,886.88 × 46,614.82
  4. Step 4: Simplify right side
    100,726.42x = 7,033,564,751.56
  5. Step 5: Solve for x
    x = 7,033,564,751.56/100,726.42
  6. Step 6: Final answer
    x = 69,828.40

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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.