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Finding the Fourth Proportional to 100,582.19, 150,901.52 and 29,506.50

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Solution

The fourth proportional to 100,582.19, 150,901.52 and 29,506.50 is: 44,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.19 : 150,901.52 = 29,506.50 : x
  2. Step 2: Convert to fraction form
    100,582.19/150,901.52 = 29,506.50/x
  3. Step 3: Cross multiply
    100,582.19x = 150,901.52 × 29,506.50
  4. Step 4: Simplify right side
    100,582.19x = 4,452,575,552.35
  5. Step 5: Solve for x
    x = 4,452,575,552.35/100,582.19
  6. Step 6: Final answer
    x = 44,268.03

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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.