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Finding the Fourth Proportional to 30,127.19, 45,201.74 and 10,407.74

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Solution

The fourth proportional to 30,127.19, 45,201.74 and 10,407.74 is: 15,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,127.19 : 45,201.74 = 10,407.74 : x
  2. Step 2: Convert to fraction form
    30,127.19/45,201.74 = 10,407.74/x
  3. Step 3: Cross multiply
    30,127.19x = 45,201.74 × 10,407.74
  4. Step 4: Simplify right side
    30,127.19x = 470,447,679.42
  5. Step 5: Solve for x
    x = 470,447,679.42/30,127.19
  6. Step 6: Final answer
    x = 15,615.39

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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.