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Finding the Fourth Proportional to 29,008.48, 40,038.96 and 17,824

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Solution

The fourth proportional to 29,008.48, 40,038.96 and 17,824 is: 24,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,008.48 : 40,038.96 = 17,824 : x
  2. Step 2: Convert to fraction form
    29,008.48/40,038.96 = 17,824/x
  3. Step 3: Cross multiply
    29,008.48x = 40,038.96 × 17,824
  4. Step 4: Simplify right side
    29,008.48x = 713,654,423.04
  5. Step 5: Solve for x
    x = 713,654,423.04/29,008.48
  6. Step 6: Final answer
    x = 24,601.58

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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.