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Finding the Fourth Proportional to 103,855.83, 155,783.74 and 24,970.06

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Solution

The fourth proportional to 103,855.83, 155,783.74 and 24,970.06 is: 37,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,855.83 : 155,783.74 = 24,970.06 : x
  2. Step 2: Convert to fraction form
    103,855.83/155,783.74 = 24,970.06/x
  3. Step 3: Cross multiply
    103,855.83x = 155,783.74 × 24,970.06
  4. Step 4: Simplify right side
    103,855.83x = 3,889,929,334.82
  5. Step 5: Solve for x
    x = 3,889,929,334.82/103,855.83
  6. Step 6: Final answer
    x = 37,455.09

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1.5x scale

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.