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Finding the Fourth Proportional to 53,284, 79,926.06 and 16,348

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Solution

The fourth proportional to 53,284, 79,926.06 and 16,348 is: 24,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,284 : 79,926.06 = 16,348 : x
  2. Step 2: Convert to fraction form
    53,284/79,926.06 = 16,348/x
  3. Step 3: Cross multiply
    53,284x = 79,926.06 × 16,348
  4. Step 4: Simplify right side
    53,284x = 1,306,631,228.88
  5. Step 5: Solve for x
    x = 1,306,631,228.88/53,284
  6. Step 6: Final answer
    x = 24,522.02

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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.