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Finding the Fourth Proportional to 46,249, 69,331.84 and 16,646.04

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Solution

The fourth proportional to 46,249, 69,331.84 and 16,646.04 is: 24,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,249 : 69,331.84 = 16,646.04 : x
  2. Step 2: Convert to fraction form
    46,249/69,331.84 = 16,646.04/x
  3. Step 3: Cross multiply
    46,249x = 69,331.84 × 16,646.04
  4. Step 4: Simplify right side
    46,249x = 1,154,100,581.91
  5. Step 5: Solve for x
    x = 1,154,100,581.91/46,249
  6. Step 6: Final answer
    x = 24,954.07

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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.