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Finding the Fourth Proportional to 29,218.32, 43,823.16 and 10,746

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Solution

The fourth proportional to 29,218.32, 43,823.16 and 10,746 is: 16,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,218.32 : 43,823.16 = 10,746 : x
  2. Step 2: Convert to fraction form
    29,218.32/43,823.16 = 10,746/x
  3. Step 3: Cross multiply
    29,218.32x = 43,823.16 × 10,746
  4. Step 4: Simplify right side
    29,218.32x = 470,923,677.36
  5. Step 5: Solve for x
    x = 470,923,677.36/29,218.32
  6. Step 6: Final answer
    x = 16,117.41

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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.