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Finding the Fourth Proportional to 46,251, 69,386.22 and 18,549

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Solution

The fourth proportional to 46,251, 69,386.22 and 18,549 is: 27,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251 : 69,386.22 = 18,549 : x
  2. Step 2: Convert to fraction form
    46,251/69,386.22 = 18,549/x
  3. Step 3: Cross multiply
    46,251x = 69,386.22 × 18,549
  4. Step 4: Simplify right side
    46,251x = 1,287,044,994.78
  5. Step 5: Solve for x
    x = 1,287,044,994.78/46,251
  6. Step 6: Final answer
    x = 27,827.40

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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.