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Finding the Fourth Proportional to 51,599.25, 77,411.88 and 14,663.25

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Solution

The fourth proportional to 51,599.25, 77,411.88 and 14,663.25 is: 21,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599.25 : 77,411.88 = 14,663.25 : x
  2. Step 2: Convert to fraction form
    51,599.25/77,411.88 = 14,663.25/x
  3. Step 3: Cross multiply
    51,599.25x = 77,411.88 × 14,663.25
  4. Step 4: Simplify right side
    51,599.25x = 1,135,109,749.41
  5. Step 5: Solve for x
    x = 1,135,109,749.41/51,599.25
  6. Step 6: Final answer
    x = 21,998.57

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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.