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Finding the Fourth Proportional to 29,307.80, 40,443.84 and 16,561.52

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Solution

The fourth proportional to 29,307.80, 40,443.84 and 16,561.52 is: 22,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307.80 : 40,443.84 = 16,561.52 : x
  2. Step 2: Convert to fraction form
    29,307.80/40,443.84 = 16,561.52/x
  3. Step 3: Cross multiply
    29,307.80x = 40,443.84 × 16,561.52
  4. Step 4: Simplify right side
    29,307.80x = 669,811,465.04
  5. Step 5: Solve for x
    x = 669,811,465.04/29,307.80
  6. Step 6: Final answer
    x = 22,854.38

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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.