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Finding the Fourth Proportional to 30,765.68, 42,460.54 and 17,340.22

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Solution

The fourth proportional to 30,765.68, 42,460.54 and 17,340.22 is: 23,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.68 : 42,460.54 = 17,340.22 : x
  2. Step 2: Convert to fraction form
    30,765.68/42,460.54 = 17,340.22/x
  3. Step 3: Cross multiply
    30,765.68x = 42,460.54 × 17,340.22
  4. Step 4: Simplify right side
    30,765.68x = 736,275,104.92
  5. Step 5: Solve for x
    x = 736,275,104.92/30,765.68
  6. Step 6: Final answer
    x = 23,931.70

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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.