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Finding the Fourth Proportional to 34,708.96, 52,062.48 and 9,749.20

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Solution

The fourth proportional to 34,708.96, 52,062.48 and 9,749.20 is: 14,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.96 : 52,062.48 = 9,749.20 : x
  2. Step 2: Convert to fraction form
    34,708.96/52,062.48 = 9,749.20/x
  3. Step 3: Cross multiply
    34,708.96x = 52,062.48 × 9,749.20
  4. Step 4: Simplify right side
    34,708.96x = 507,567,530.02
  5. Step 5: Solve for x
    x = 507,567,530.02/34,708.96
  6. Step 6: Final answer
    x = 14,623.53

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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.