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Finding the Fourth Proportional to 74,597.96, 102,957.68 and 47,739.17

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Solution

The fourth proportional to 74,597.96, 102,957.68 and 47,739.17 is: 65,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,597.96 : 102,957.68 = 47,739.17 : x
  2. Step 2: Convert to fraction form
    74,597.96/102,957.68 = 47,739.17/x
  3. Step 3: Cross multiply
    74,597.96x = 102,957.68 × 47,739.17
  4. Step 4: Simplify right side
    74,597.96x = 4,915,114,188.33
  5. Step 5: Solve for x
    x = 4,915,114,188.33/74,597.96
  6. Step 6: Final answer
    x = 65,888.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.