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Finding the Fourth Proportional to 76,446.80, 105,478.12 and 44,597.52

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Solution

The fourth proportional to 76,446.80, 105,478.12 and 44,597.52 is: 61,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.80 : 105,478.12 = 44,597.52 : x
  2. Step 2: Convert to fraction form
    76,446.80/105,478.12 = 44,597.52/x
  3. Step 3: Cross multiply
    76,446.80x = 105,478.12 × 44,597.52
  4. Step 4: Simplify right side
    76,446.80x = 4,704,062,566.26
  5. Step 5: Solve for x
    x = 4,704,062,566.26/76,446.80
  6. Step 6: Final answer
    x = 61,533.81

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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.