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Finding the Fourth Proportional to 29,848.68, 41,186.61 and 17,271

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Solution

The fourth proportional to 29,848.68, 41,186.61 and 17,271 is: 23,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.68 : 41,186.61 = 17,271 : x
  2. Step 2: Convert to fraction form
    29,848.68/41,186.61 = 17,271/x
  3. Step 3: Cross multiply
    29,848.68x = 41,186.61 × 17,271
  4. Step 4: Simplify right side
    29,848.68x = 711,333,941.31
  5. Step 5: Solve for x
    x = 711,333,941.31/29,848.68
  6. Step 6: Final answer
    x = 23,831.34

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