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Finding the Fourth Proportional to 29,666.40, 41,455.20 and 29,666.40

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Solution

The fourth proportional to 29,666.40, 41,455.20 and 29,666.40 is: 41,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.40 : 41,455.20 = 29,666.40 : x
  2. Step 2: Convert to fraction form
    29,666.40/41,455.20 = 29,666.40/x
  3. Step 3: Cross multiply
    29,666.40x = 41,455.20 × 29,666.40
  4. Step 4: Simplify right side
    29,666.40x = 1,229,826,545.28
  5. Step 5: Solve for x
    x = 1,229,826,545.28/29,666.40
  6. Step 6: Final answer
    x = 41,455.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.