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Finding the Fourth Proportional to 77,702.49, 116,536.39 and 30,318.84

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Solution

The fourth proportional to 77,702.49, 116,536.39 and 30,318.84 is: 45,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702.49 : 116,536.39 = 30,318.84 : x
  2. Step 2: Convert to fraction form
    77,702.49/116,536.39 = 30,318.84/x
  3. Step 3: Cross multiply
    77,702.49x = 116,536.39 × 30,318.84
  4. Step 4: Simplify right side
    77,702.49x = 3,533,248,086.79
  5. Step 5: Solve for x
    x = 3,533,248,086.79/77,702.49
  6. Step 6: Final answer
    x = 45,471.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.