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Finding the Fourth Proportional to 30,419.18, 45,628.58 and 12,407.34

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Solution

The fourth proportional to 30,419.18, 45,628.58 and 12,407.34 is: 18,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.18 : 45,628.58 = 12,407.34 : x
  2. Step 2: Convert to fraction form
    30,419.18/45,628.58 = 12,407.34/x
  3. Step 3: Cross multiply
    30,419.18x = 45,628.58 × 12,407.34
  4. Step 4: Simplify right side
    30,419.18x = 566,129,243.74
  5. Step 5: Solve for x
    x = 566,129,243.74/30,419.18
  6. Step 6: Final answer
    x = 18,610.93

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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.