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Finding the Fourth Proportional to 94,141.40, 141,212.10 and 31,811.90

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Solution

The fourth proportional to 94,141.40, 141,212.10 and 31,811.90 is: 47,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,141.40 : 141,212.10 = 31,811.90 : x
  2. Step 2: Convert to fraction form
    94,141.40/141,212.10 = 31,811.90/x
  3. Step 3: Cross multiply
    94,141.40x = 141,212.10 × 31,811.90
  4. Step 4: Simplify right side
    94,141.40x = 4,492,225,203.99
  5. Step 5: Solve for x
    x = 4,492,225,203.99/94,141.40
  6. Step 6: Final answer
    x = 47,717.85

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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.