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Finding the Fourth Proportional to 34,701.94, 52,051.96 and 9,742.20

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Solution

The fourth proportional to 34,701.94, 52,051.96 and 9,742.20 is: 14,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.94 : 52,051.96 = 9,742.20 : x
  2. Step 2: Convert to fraction form
    34,701.94/52,051.96 = 9,742.20/x
  3. Step 3: Cross multiply
    34,701.94x = 52,051.96 × 9,742.20
  4. Step 4: Simplify right side
    34,701.94x = 507,100,604.71
  5. Step 5: Solve for x
    x = 507,100,604.71/34,701.94
  6. Step 6: Final answer
    x = 14,613.03

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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.