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Finding the Fourth Proportional to 30,762.76, 42,459.48 and 20,146.18

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Solution

The fourth proportional to 30,762.76, 42,459.48 and 20,146.18 is: 27,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.76 : 42,459.48 = 20,146.18 : x
  2. Step 2: Convert to fraction form
    30,762.76/42,459.48 = 20,146.18/x
  3. Step 3: Cross multiply
    30,762.76x = 42,459.48 × 20,146.18
  4. Step 4: Simplify right side
    30,762.76x = 855,396,326.79
  5. Step 5: Solve for x
    x = 855,396,326.79/30,762.76
  6. Step 6: Final answer
    x = 27,806.23

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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.