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Finding the Fourth Proportional to 30,832.50, 46,261.06 and 18,358.40

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Solution

The fourth proportional to 30,832.50, 46,261.06 and 18,358.40 is: 27,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.50 : 46,261.06 = 18,358.40 : x
  2. Step 2: Convert to fraction form
    30,832.50/46,261.06 = 18,358.40/x
  3. Step 3: Cross multiply
    30,832.50x = 46,261.06 × 18,358.40
  4. Step 4: Simplify right side
    30,832.50x = 849,279,043.90
  5. Step 5: Solve for x
    x = 849,279,043.90/30,832.50
  6. Step 6: Final answer
    x = 27,544.93

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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.