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Finding the Fourth Proportional to 94,274.96, 141,324.96 and 31,901.76

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Solution

The fourth proportional to 94,274.96, 141,324.96 and 31,901.76 is: 47,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,274.96 : 141,324.96 = 31,901.76 : x
  2. Step 2: Convert to fraction form
    94,274.96/141,324.96 = 31,901.76/x
  3. Step 3: Cross multiply
    94,274.96x = 141,324.96 × 31,901.76
  4. Step 4: Simplify right side
    94,274.96x = 4,508,514,955.93
  5. Step 5: Solve for x
    x = 4,508,514,955.93/94,274.96
  6. Step 6: Final answer
    x = 47,823.04

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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.