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Finding the Fourth Proportional to 72,830.30, 109,260.44 and 30,710.50

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Solution

The fourth proportional to 72,830.30, 109,260.44 and 30,710.50 is: 46,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,830.30 : 109,260.44 = 30,710.50 : x
  2. Step 2: Convert to fraction form
    72,830.30/109,260.44 = 30,710.50/x
  3. Step 3: Cross multiply
    72,830.30x = 109,260.44 × 30,710.50
  4. Step 4: Simplify right side
    72,830.30x = 3,355,442,742.62
  5. Step 5: Solve for x
    x = 3,355,442,742.62/72,830.30
  6. Step 6: Final answer
    x = 46,072.07

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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.