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Finding the Fourth Proportional to 29,582, 40,823.23 and 16,153.28

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Solution

The fourth proportional to 29,582, 40,823.23 and 16,153.28 is: 22,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582 : 40,823.23 = 16,153.28 : x
  2. Step 2: Convert to fraction form
    29,582/40,823.23 = 16,153.28/x
  3. Step 3: Cross multiply
    29,582x = 40,823.23 × 16,153.28
  4. Step 4: Simplify right side
    29,582x = 659,429,064.69
  5. Step 5: Solve for x
    x = 659,429,064.69/29,582
  6. Step 6: Final answer
    x = 22,291.56

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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.