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Finding the Fourth Proportional to 34,032.64, 47,000.92 and 30,322.04

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Solution

The fourth proportional to 34,032.64, 47,000.92 and 30,322.04 is: 41,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032.64 : 47,000.92 = 30,322.04 : x
  2. Step 2: Convert to fraction form
    34,032.64/47,000.92 = 30,322.04/x
  3. Step 3: Cross multiply
    34,032.64x = 47,000.92 × 30,322.04
  4. Step 4: Simplify right side
    34,032.64x = 1,425,163,776.28
  5. Step 5: Solve for x
    x = 1,425,163,776.28/34,032.64
  6. Step 6: Final answer
    x = 41,876.38

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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.