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Finding the Fourth Proportional to 30,254.80, 45,383.48 and 9,478.48

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Solution

The fourth proportional to 30,254.80, 45,383.48 and 9,478.48 is: 14,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.80 : 45,383.48 = 9,478.48 : x
  2. Step 2: Convert to fraction form
    30,254.80/45,383.48 = 9,478.48/x
  3. Step 3: Cross multiply
    30,254.80x = 45,383.48 × 9,478.48
  4. Step 4: Simplify right side
    30,254.80x = 430,166,407.51
  5. Step 5: Solve for x
    x = 430,166,407.51/30,254.80
  6. Step 6: Final answer
    x = 14,218.12

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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.