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Finding the Fourth Proportional to 48,711.84, 73,071.06 and 17,118.06

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Solution

The fourth proportional to 48,711.84, 73,071.06 and 17,118.06 is: 25,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711.84 : 73,071.06 = 17,118.06 : x
  2. Step 2: Convert to fraction form
    48,711.84/73,071.06 = 17,118.06/x
  3. Step 3: Cross multiply
    48,711.84x = 73,071.06 × 17,118.06
  4. Step 4: Simplify right side
    48,711.84x = 1,250,834,789.34
  5. Step 5: Solve for x
    x = 1,250,834,789.34/48,711.84
  6. Step 6: Final answer
    x = 25,678.25

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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.