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Finding the Fourth Proportional to 62,166, 93,263.76 and 20,613

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Solution

The fourth proportional to 62,166, 93,263.76 and 20,613 is: 30,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,166 : 93,263.76 = 20,613 : x
  2. Step 2: Convert to fraction form
    62,166/93,263.76 = 20,613/x
  3. Step 3: Cross multiply
    62,166x = 93,263.76 × 20,613
  4. Step 4: Simplify right side
    62,166x = 1,922,445,884.88
  5. Step 5: Solve for x
    x = 1,922,445,884.88/62,166
  6. Step 6: Final answer
    x = 30,924.39

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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.