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Finding the Fourth Proportional to 103,855.80, 155,783.60 and 24,970

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Solution

The fourth proportional to 103,855.80, 155,783.60 and 24,970 is: 37,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,855.80 : 155,783.60 = 24,970 : x
  2. Step 2: Convert to fraction form
    103,855.80/155,783.60 = 24,970/x
  3. Step 3: Cross multiply
    103,855.80x = 155,783.60 × 24,970
  4. Step 4: Simplify right side
    103,855.80x = 3,889,916,492
  5. Step 5: Solve for x
    x = 3,889,916,492/103,855.80
  6. Step 6: Final answer
    x = 37,454.98

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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.