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Finding the Fourth Proportional to 45,584, 62,906 and 25,712

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Solution

The fourth proportional to 45,584, 62,906 and 25,712 is: 35,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 62,906 = 25,712 : x
  2. Step 2: Convert to fraction form
    45,584/62,906 = 25,712/x
  3. Step 3: Cross multiply
    45,584x = 62,906 × 25,712
  4. Step 4: Simplify right side
    45,584x = 1,617,439,072
  5. Step 5: Solve for x
    x = 1,617,439,072/45,584
  6. Step 6: Final answer
    x = 35,482.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.