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Finding the Fourth Proportional to 51,480.46, 77,222.04 and 17,746.12

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Solution

The fourth proportional to 51,480.46, 77,222.04 and 17,746.12 is: 26,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480.46 : 77,222.04 = 17,746.12 : x
  2. Step 2: Convert to fraction form
    51,480.46/77,222.04 = 17,746.12/x
  3. Step 3: Cross multiply
    51,480.46x = 77,222.04 × 17,746.12
  4. Step 4: Simplify right side
    51,480.46x = 1,370,391,328.88
  5. Step 5: Solve for x
    x = 1,370,391,328.88/51,480.46
  6. Step 6: Final answer
    x = 26,619.64

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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.