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Finding the Fourth Proportional to 103,624, 155,436 and 33,503.32

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Solution

The fourth proportional to 103,624, 155,436 and 33,503.32 is: 50,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 155,436 = 33,503.32 : x
  2. Step 2: Convert to fraction form
    103,624/155,436 = 33,503.32/x
  3. Step 3: Cross multiply
    103,624x = 155,436 × 33,503.32
  4. Step 4: Simplify right side
    103,624x = 5,207,622,047.52
  5. Step 5: Solve for x
    x = 5,207,622,047.52/103,624
  6. Step 6: Final answer
    x = 50,254.98

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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.