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Finding the Fourth Proportional to 34,814, 48,042.08 and 18,898.08

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Solution

The fourth proportional to 34,814, 48,042.08 and 18,898.08 is: 26,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,814 : 48,042.08 = 18,898.08 : x
  2. Step 2: Convert to fraction form
    34,814/48,042.08 = 18,898.08/x
  3. Step 3: Cross multiply
    34,814x = 48,042.08 × 18,898.08
  4. Step 4: Simplify right side
    34,814x = 907,903,071.21
  5. Step 5: Solve for x
    x = 907,903,071.21/34,814
  6. Step 6: Final answer
    x = 26,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.