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Finding the Fourth Proportional to 30,500.40, 45,767.52 and 14,918.16

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Solution

The fourth proportional to 30,500.40, 45,767.52 and 14,918.16 is: 22,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.40 : 45,767.52 = 14,918.16 : x
  2. Step 2: Convert to fraction form
    30,500.40/45,767.52 = 14,918.16/x
  3. Step 3: Cross multiply
    30,500.40x = 45,767.52 × 14,918.16
  4. Step 4: Simplify right side
    30,500.40x = 682,767,186.16
  5. Step 5: Solve for x
    x = 682,767,186.16/30,500.40
  6. Step 6: Final answer
    x = 22,385.52

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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.