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Finding the Fourth Proportional to 29,518.97, 40,740.42 and 17,582.50

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Solution

The fourth proportional to 29,518.97, 40,740.42 and 17,582.50 is: 24,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,518.97 : 40,740.42 = 17,582.50 : x
  2. Step 2: Convert to fraction form
    29,518.97/40,740.42 = 17,582.50/x
  3. Step 3: Cross multiply
    29,518.97x = 40,740.42 × 17,582.50
  4. Step 4: Simplify right side
    29,518.97x = 716,318,452.61
  5. Step 5: Solve for x
    x = 716,318,452.61/29,518.97
  6. Step 6: Final answer
    x = 24,266.38

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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.