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Finding the Fourth Proportional to 46,031.84, 69,062.32 and 16,449

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Solution

The fourth proportional to 46,031.84, 69,062.32 and 16,449 is: 24,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,031.84 : 69,062.32 = 16,449 : x
  2. Step 2: Convert to fraction form
    46,031.84/69,062.32 = 16,449/x
  3. Step 3: Cross multiply
    46,031.84x = 69,062.32 × 16,449
  4. Step 4: Simplify right side
    46,031.84x = 1,136,006,101.68
  5. Step 5: Solve for x
    x = 1,136,006,101.68/46,031.84
  6. Step 6: Final answer
    x = 24,678.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.