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Finding the Fourth Proportional to 29,498.65, 40,709 and 16,751.38

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Solution

The fourth proportional to 29,498.65, 40,709 and 16,751.38 is: 23,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.65 : 40,709 = 16,751.38 : x
  2. Step 2: Convert to fraction form
    29,498.65/40,709 = 16,751.38/x
  3. Step 3: Cross multiply
    29,498.65x = 40,709 × 16,751.38
  4. Step 4: Simplify right side
    29,498.65x = 681,931,928.42
  5. Step 5: Solve for x
    x = 681,931,928.42/29,498.65
  6. Step 6: Final answer
    x = 23,117.39

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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.