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Finding the Fourth Proportional to 196,421, 294,631.50 and 48,677

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Solution

The fourth proportional to 196,421, 294,631.50 and 48,677 is: 73,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,421 : 294,631.50 = 48,677 : x
  2. Step 2: Convert to fraction form
    196,421/294,631.50 = 48,677/x
  3. Step 3: Cross multiply
    196,421x = 294,631.50 × 48,677
  4. Step 4: Simplify right side
    196,421x = 14,341,777,525.50
  5. Step 5: Solve for x
    x = 14,341,777,525.50/196,421
  6. Step 6: Final answer
    x = 73,015.50

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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.