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Finding the Fourth Proportional to 100,594, 150,914.34 and 29,513.77

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Solution

The fourth proportional to 100,594, 150,914.34 and 29,513.77 is: 44,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,594 : 150,914.34 = 29,513.77 : x
  2. Step 2: Convert to fraction form
    100,594/150,914.34 = 29,513.77/x
  3. Step 3: Cross multiply
    100,594x = 150,914.34 × 29,513.77
  4. Step 4: Simplify right side
    100,594x = 4,454,051,120.46
  5. Step 5: Solve for x
    x = 4,454,051,120.46/100,594
  6. Step 6: Final answer
    x = 44,277.50

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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.