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Finding the Fourth Proportional to 105,595.44, 158,393.06 and 42,415.57

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Solution

The fourth proportional to 105,595.44, 158,393.06 and 42,415.57 is: 63,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,595.44 : 158,393.06 = 42,415.57 : x
  2. Step 2: Convert to fraction form
    105,595.44/158,393.06 = 42,415.57/x
  3. Step 3: Cross multiply
    105,595.44x = 158,393.06 × 42,415.57
  4. Step 4: Simplify right side
    105,595.44x = 6,718,332,454.75
  5. Step 5: Solve for x
    x = 6,718,332,454.75/105,595.44
  6. Step 6: Final answer
    x = 63,623.32

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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.