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Finding the Fourth Proportional to 30,477.30, 45,699.52 and 13,828.25

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Solution

The fourth proportional to 30,477.30, 45,699.52 and 13,828.25 is: 20,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.30 : 45,699.52 = 13,828.25 : x
  2. Step 2: Convert to fraction form
    30,477.30/45,699.52 = 13,828.25/x
  3. Step 3: Cross multiply
    30,477.30x = 45,699.52 × 13,828.25
  4. Step 4: Simplify right side
    30,477.30x = 631,944,387.44
  5. Step 5: Solve for x
    x = 631,944,387.44/30,477.30
  6. Step 6: Final answer
    x = 20,734.92

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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.