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Finding the Fourth Proportional to 46,314, 69,471.12 and 13,482

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Solution

The fourth proportional to 46,314, 69,471.12 and 13,482 is: 20,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314 : 69,471.12 = 13,482 : x
  2. Step 2: Convert to fraction form
    46,314/69,471.12 = 13,482/x
  3. Step 3: Cross multiply
    46,314x = 69,471.12 × 13,482
  4. Step 4: Simplify right side
    46,314x = 936,609,639.84
  5. Step 5: Solve for x
    x = 936,609,639.84/46,314
  6. Step 6: Final answer
    x = 20,223.03

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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.