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Finding the Fourth Proportional to 48,208, 72,313.28 and 15,376

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Solution

The fourth proportional to 48,208, 72,313.28 and 15,376 is: 23,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,208 : 72,313.28 = 15,376 : x
  2. Step 2: Convert to fraction form
    48,208/72,313.28 = 15,376/x
  3. Step 3: Cross multiply
    48,208x = 72,313.28 × 15,376
  4. Step 4: Simplify right side
    48,208x = 1,111,888,993.28
  5. Step 5: Solve for x
    x = 1,111,888,993.28/48,208
  6. Step 6: Final answer
    x = 23,064.41

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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.