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Finding the Fourth Proportional to 46,068.82, 69,117.84 and 16,486

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Solution

The fourth proportional to 46,068.82, 69,117.84 and 16,486 is: 24,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,068.82 : 69,117.84 = 16,486 : x
  2. Step 2: Convert to fraction form
    46,068.82/69,117.84 = 16,486/x
  3. Step 3: Cross multiply
    46,068.82x = 69,117.84 × 16,486
  4. Step 4: Simplify right side
    46,068.82x = 1,139,476,710.24
  5. Step 5: Solve for x
    x = 1,139,476,710.24/46,068.82
  6. Step 6: Final answer
    x = 24,734.23

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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.