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Finding the Fourth Proportional to 129,953.82, 194,930.59 and 48,915.98

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Solution

The fourth proportional to 129,953.82, 194,930.59 and 48,915.98 is: 73,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,953.82 : 194,930.59 = 48,915.98 : x
  2. Step 2: Convert to fraction form
    129,953.82/194,930.59 = 48,915.98/x
  3. Step 3: Cross multiply
    129,953.82x = 194,930.59 × 48,915.98
  4. Step 4: Simplify right side
    129,953.82x = 9,535,220,597.25
  5. Step 5: Solve for x
    x = 9,535,220,597.25/129,953.82
  6. Step 6: Final answer
    x = 73,373.92

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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.