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Finding the Fourth Proportional to 30,686.16, 42,301.80 and 21,705.96

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Solution

The fourth proportional to 30,686.16, 42,301.80 and 21,705.96 is: 29,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.16 : 42,301.80 = 21,705.96 : x
  2. Step 2: Convert to fraction form
    30,686.16/42,301.80 = 21,705.96/x
  3. Step 3: Cross multiply
    30,686.16x = 42,301.80 × 21,705.96
  4. Step 4: Simplify right side
    30,686.16x = 918,201,178.73
  5. Step 5: Solve for x
    x = 918,201,178.73/30,686.16
  6. Step 6: Final answer
    x = 29,922.32

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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.