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Finding the Fourth Proportional to 48,144.51, 72,222.17 and 13,084.47

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Solution

The fourth proportional to 48,144.51, 72,222.17 and 13,084.47 is: 19,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,144.51 : 72,222.17 = 13,084.47 : x
  2. Step 2: Convert to fraction form
    48,144.51/72,222.17 = 13,084.47/x
  3. Step 3: Cross multiply
    48,144.51x = 72,222.17 × 13,084.47
  4. Step 4: Simplify right side
    48,144.51x = 944,988,751.28
  5. Step 5: Solve for x
    x = 944,988,751.28/48,144.51
  6. Step 6: Final answer
    x = 19,628.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.