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Finding the Fourth Proportional to 51,509.95, 77,264.16 and 14,069.96

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Solution

The fourth proportional to 51,509.95, 77,264.16 and 14,069.96 is: 21,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509.95 : 77,264.16 = 14,069.96 : x
  2. Step 2: Convert to fraction form
    51,509.95/77,264.16 = 14,069.96/x
  3. Step 3: Cross multiply
    51,509.95x = 77,264.16 × 14,069.96
  4. Step 4: Simplify right side
    51,509.95x = 1,087,103,640.63
  5. Step 5: Solve for x
    x = 1,087,103,640.63/51,509.95
  6. Step 6: Final answer
    x = 21,104.73

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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.