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Finding the Fourth Proportional to 48,069.84, 72,102.72 and 16,482.84

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Solution

The fourth proportional to 48,069.84, 72,102.72 and 16,482.84 is: 24,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,069.84 : 72,102.72 = 16,482.84 : x
  2. Step 2: Convert to fraction form
    48,069.84/72,102.72 = 16,482.84/x
  3. Step 3: Cross multiply
    48,069.84x = 72,102.72 × 16,482.84
  4. Step 4: Simplify right side
    48,069.84x = 1,188,457,597.32
  5. Step 5: Solve for x
    x = 1,188,457,597.32/48,069.84
  6. Step 6: Final answer
    x = 24,723.56

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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.