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Finding the Fourth Proportional to 51,255.25, 76,895.84 and 14,319.25

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Solution

The fourth proportional to 51,255.25, 76,895.84 and 14,319.25 is: 21,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255.25 : 76,895.84 = 14,319.25 : x
  2. Step 2: Convert to fraction form
    51,255.25/76,895.84 = 14,319.25/x
  3. Step 3: Cross multiply
    51,255.25x = 76,895.84 × 14,319.25
  4. Step 4: Simplify right side
    51,255.25x = 1,101,090,756.92
  5. Step 5: Solve for x
    x = 1,101,090,756.92/51,255.25
  6. Step 6: Final answer
    x = 21,482.50

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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.