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Finding the Fourth Proportional to 29,323.40, 40,466.38 and 15,894.71

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Solution

The fourth proportional to 29,323.40, 40,466.38 and 15,894.71 is: 21,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.40 : 40,466.38 = 15,894.71 : x
  2. Step 2: Convert to fraction form
    29,323.40/40,466.38 = 15,894.71/x
  3. Step 3: Cross multiply
    29,323.40x = 40,466.38 × 15,894.71
  4. Step 4: Simplify right side
    29,323.40x = 643,201,515.75
  5. Step 5: Solve for x
    x = 643,201,515.75/29,323.40
  6. Step 6: Final answer
    x = 21,934.75

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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.