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Finding the Fourth Proportional to 109,384.70, 164,056.80 and 30,482.60

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Solution

The fourth proportional to 109,384.70, 164,056.80 and 30,482.60 is: 45,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,384.70 : 164,056.80 = 30,482.60 : x
  2. Step 2: Convert to fraction form
    109,384.70/164,056.80 = 30,482.60/x
  3. Step 3: Cross multiply
    109,384.70x = 164,056.80 × 30,482.60
  4. Step 4: Simplify right side
    109,384.70x = 5,000,877,811.68
  5. Step 5: Solve for x
    x = 5,000,877,811.68/109,384.70
  6. Step 6: Final answer
    x = 45,718.26

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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.