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Finding the Fourth Proportional to 46,412.84, 69,625.74 and 23,033

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Solution

The fourth proportional to 46,412.84, 69,625.74 and 23,033 is: 34,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412.84 : 69,625.74 = 23,033 : x
  2. Step 2: Convert to fraction form
    46,412.84/69,625.74 = 23,033/x
  3. Step 3: Cross multiply
    46,412.84x = 69,625.74 × 23,033
  4. Step 4: Simplify right side
    46,412.84x = 1,603,689,669.42
  5. Step 5: Solve for x
    x = 1,603,689,669.42/46,412.84
  6. Step 6: Final answer
    x = 34,552.72

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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.