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Finding the Fourth Proportional to 117,493.98, 176,415.93 and 47,509.98

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Solution

The fourth proportional to 117,493.98, 176,415.93 and 47,509.98 is: 71,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,493.98 : 176,415.93 = 47,509.98 : x
  2. Step 2: Convert to fraction form
    117,493.98/176,415.93 = 47,509.98/x
  3. Step 3: Cross multiply
    117,493.98x = 176,415.93 × 47,509.98
  4. Step 4: Simplify right side
    117,493.98x = 8,381,517,305.98
  5. Step 5: Solve for x
    x = 8,381,517,305.98/117,493.98
  6. Step 6: Final answer
    x = 71,335.72

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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.