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Finding the Fourth Proportional to 116,458.54, 174,724.72 and 41,577.08

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Solution

The fourth proportional to 116,458.54, 174,724.72 and 41,577.08 is: 62,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,458.54 : 174,724.72 = 41,577.08 : x
  2. Step 2: Convert to fraction form
    116,458.54/174,724.72 = 41,577.08/x
  3. Step 3: Cross multiply
    116,458.54x = 174,724.72 × 41,577.08
  4. Step 4: Simplify right side
    116,458.54x = 7,264,543,661.42
  5. Step 5: Solve for x
    x = 7,264,543,661.42/116,458.54
  6. Step 6: Final answer
    x = 62,378.80

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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.