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Finding the Fourth Proportional to 34,502.83, 51,746.01 and 9,542.34

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Solution

The fourth proportional to 34,502.83, 51,746.01 and 9,542.34 is: 14,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.83 : 51,746.01 = 9,542.34 : x
  2. Step 2: Convert to fraction form
    34,502.83/51,746.01 = 9,542.34/x
  3. Step 3: Cross multiply
    34,502.83x = 51,746.01 × 9,542.34
  4. Step 4: Simplify right side
    34,502.83x = 493,777,985.28
  5. Step 5: Solve for x
    x = 493,777,985.28/34,502.83
  6. Step 6: Final answer
    x = 14,311.23

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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.