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Finding the Fourth Proportional to 46,499.68, 69,756.04 and 16,914.16

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Solution

The fourth proportional to 46,499.68, 69,756.04 and 16,914.16 is: 25,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,499.68 : 69,756.04 = 16,914.16 : x
  2. Step 2: Convert to fraction form
    46,499.68/69,756.04 = 16,914.16/x
  3. Step 3: Cross multiply
    46,499.68x = 69,756.04 × 16,914.16
  4. Step 4: Simplify right side
    46,499.68x = 1,179,864,821.53
  5. Step 5: Solve for x
    x = 1,179,864,821.53/46,499.68
  6. Step 6: Final answer
    x = 25,373.61

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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.