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Finding the Fourth Proportional to 105,920.98, 158,881.34 and 27,035.20

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Solution

The fourth proportional to 105,920.98, 158,881.34 and 27,035.20 is: 40,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920.98 : 158,881.34 = 27,035.20 : x
  2. Step 2: Convert to fraction form
    105,920.98/158,881.34 = 27,035.20/x
  3. Step 3: Cross multiply
    105,920.98x = 158,881.34 × 27,035.20
  4. Step 4: Simplify right side
    105,920.98x = 4,295,388,803.17
  5. Step 5: Solve for x
    x = 4,295,388,803.17/105,920.98
  6. Step 6: Final answer
    x = 40,552.77

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1.5x scale

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.