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Finding the Fourth Proportional to 105,832.29, 158,623.29 and 46,543.95

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Solution

The fourth proportional to 105,832.29, 158,623.29 and 46,543.95 is: 69,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,832.29 : 158,623.29 = 46,543.95 : x
  2. Step 2: Convert to fraction form
    105,832.29/158,623.29 = 46,543.95/x
  3. Step 3: Cross multiply
    105,832.29x = 158,623.29 × 46,543.95
  4. Step 4: Simplify right side
    105,832.29x = 7,382,954,478.60
  5. Step 5: Solve for x
    x = 7,382,954,478.60/105,832.29
  6. Step 6: Final answer
    x = 69,760.89

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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.