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Finding the Fourth Proportional to 94,133.70, 141,200.55 and 31,803.30

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Solution

The fourth proportional to 94,133.70, 141,200.55 and 31,803.30 is: 47,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,133.70 : 141,200.55 = 31,803.30 : x
  2. Step 2: Convert to fraction form
    94,133.70/141,200.55 = 31,803.30/x
  3. Step 3: Cross multiply
    94,133.70x = 141,200.55 × 31,803.30
  4. Step 4: Simplify right side
    94,133.70x = 4,490,643,451.82
  5. Step 5: Solve for x
    x = 4,490,643,451.82/94,133.70
  6. Step 6: Final answer
    x = 47,704.95

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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.