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Finding the Fourth Proportional to 105,388.84, 158,091.50 and 30,510.11

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Solution

The fourth proportional to 105,388.84, 158,091.50 and 30,510.11 is: 45,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,388.84 : 158,091.50 = 30,510.11 : x
  2. Step 2: Convert to fraction form
    105,388.84/158,091.50 = 30,510.11/x
  3. Step 3: Cross multiply
    105,388.84x = 158,091.50 × 30,510.11
  4. Step 4: Simplify right side
    105,388.84x = 4,823,389,055.07
  5. Step 5: Solve for x
    x = 4,823,389,055.07/105,388.84
  6. Step 6: Final answer
    x = 45,767.55

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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.