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Finding the Fourth Proportional to 29,496, 40,704.48 and 16,248

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Solution

The fourth proportional to 29,496, 40,704.48 and 16,248 is: 22,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,496 : 40,704.48 = 16,248 : x
  2. Step 2: Convert to fraction form
    29,496/40,704.48 = 16,248/x
  3. Step 3: Cross multiply
    29,496x = 40,704.48 × 16,248
  4. Step 4: Simplify right side
    29,496x = 661,366,391.04
  5. Step 5: Solve for x
    x = 661,366,391.04/29,496
  6. Step 6: Final answer
    x = 22,422.24

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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.