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Finding the Fourth Proportional to 77,362.68, 116,025.18 and 32,359.71

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Solution

The fourth proportional to 77,362.68, 116,025.18 and 32,359.71 is: 48,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,362.68 : 116,025.18 = 32,359.71 : x
  2. Step 2: Convert to fraction form
    77,362.68/116,025.18 = 32,359.71/x
  3. Step 3: Cross multiply
    77,362.68x = 116,025.18 × 32,359.71
  4. Step 4: Simplify right side
    77,362.68x = 3,754,540,597.37
  5. Step 5: Solve for x
    x = 3,754,540,597.37/77,362.68
  6. Step 6: Final answer
    x = 48,531.68

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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.