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Finding the Fourth Proportional to 77,624.91, 116,400.51 and 35,492.49

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Solution

The fourth proportional to 77,624.91, 116,400.51 and 35,492.49 is: 53,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,624.91 : 116,400.51 = 35,492.49 : x
  2. Step 2: Convert to fraction form
    77,624.91/116,400.51 = 35,492.49/x
  3. Step 3: Cross multiply
    77,624.91x = 116,400.51 × 35,492.49
  4. Step 4: Simplify right side
    77,624.91x = 4,131,343,937.17
  5. Step 5: Solve for x
    x = 4,131,343,937.17/77,624.91
  6. Step 6: Final answer
    x = 53,221.88

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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.