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Finding the Fourth Proportional to 30,024.28, 45,012.10 and 12,507.22

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Solution

The fourth proportional to 30,024.28, 45,012.10 and 12,507.22 is: 18,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024.28 : 45,012.10 = 12,507.22 : x
  2. Step 2: Convert to fraction form
    30,024.28/45,012.10 = 12,507.22/x
  3. Step 3: Cross multiply
    30,024.28x = 45,012.10 × 12,507.22
  4. Step 4: Simplify right side
    30,024.28x = 562,976,237.36
  5. Step 5: Solve for x
    x = 562,976,237.36/30,024.28
  6. Step 6: Final answer
    x = 18,750.70

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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.