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Finding the Fourth Proportional to 100,653.46, 150,994.77 and 37,468.33

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Solution

The fourth proportional to 100,653.46, 150,994.77 and 37,468.33 is: 56,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.46 : 150,994.77 = 37,468.33 : x
  2. Step 2: Convert to fraction form
    100,653.46/150,994.77 = 37,468.33/x
  3. Step 3: Cross multiply
    100,653.46x = 150,994.77 × 37,468.33
  4. Step 4: Simplify right side
    100,653.46x = 5,657,521,870.63
  5. Step 5: Solve for x
    x = 5,657,521,870.63/100,653.46
  6. Step 6: Final answer
    x = 56,207.92

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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.