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Finding the Fourth Proportional to 30,221.98, 45,341.48 and 10,502.53

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Solution

The fourth proportional to 30,221.98, 45,341.48 and 10,502.53 is: 15,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.98 : 45,341.48 = 10,502.53 : x
  2. Step 2: Convert to fraction form
    30,221.98/45,341.48 = 10,502.53/x
  3. Step 3: Cross multiply
    30,221.98x = 45,341.48 × 10,502.53
  4. Step 4: Simplify right side
    30,221.98x = 476,200,201.43
  5. Step 5: Solve for x
    x = 476,200,201.43/30,221.98
  6. Step 6: Final answer
    x = 15,756.75

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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.