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Finding the Fourth Proportional to 45,144, 62,298.72 and 25,272

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Solution

The fourth proportional to 45,144, 62,298.72 and 25,272 is: 34,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,144 : 62,298.72 = 25,272 : x
  2. Step 2: Convert to fraction form
    45,144/62,298.72 = 25,272/x
  3. Step 3: Cross multiply
    45,144x = 62,298.72 × 25,272
  4. Step 4: Simplify right side
    45,144x = 1,574,413,251.84
  5. Step 5: Solve for x
    x = 1,574,413,251.84/45,144
  6. Step 6: Final answer
    x = 34,875.36

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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.