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Finding the Fourth Proportional to 30,530.88, 42,101.64 and 20,457.72

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Solution

The fourth proportional to 30,530.88, 42,101.64 and 20,457.72 is: 28,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.88 : 42,101.64 = 20,457.72 : x
  2. Step 2: Convert to fraction form
    30,530.88/42,101.64 = 20,457.72/x
  3. Step 3: Cross multiply
    30,530.88x = 42,101.64 × 20,457.72
  4. Step 4: Simplify right side
    30,530.88x = 861,303,562.66
  5. Step 5: Solve for x
    x = 861,303,562.66/30,530.88
  6. Step 6: Final answer
    x = 28,210.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.