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Finding the Fourth Proportional to 29,046, 43,569 and 7,158

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Solution

The fourth proportional to 29,046, 43,569 and 7,158 is: 10,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046 : 43,569 = 7,158 : x
  2. Step 2: Convert to fraction form
    29,046/43,569 = 7,158/x
  3. Step 3: Cross multiply
    29,046x = 43,569 × 7,158
  4. Step 4: Simplify right side
    29,046x = 311,866,902
  5. Step 5: Solve for x
    x = 311,866,902/29,046
  6. Step 6: Final answer
    x = 10,737

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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.