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Finding the Fourth Proportional to 30,832.80, 42,549.36 and 16,685.64

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Solution

The fourth proportional to 30,832.80, 42,549.36 and 16,685.64 is: 23,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.80 : 42,549.36 = 16,685.64 : x
  2. Step 2: Convert to fraction form
    30,832.80/42,549.36 = 16,685.64/x
  3. Step 3: Cross multiply
    30,832.80x = 42,549.36 × 16,685.64
  4. Step 4: Simplify right side
    30,832.80x = 709,963,303.19
  5. Step 5: Solve for x
    x = 709,963,303.19/30,832.80
  6. Step 6: Final answer
    x = 23,026.24

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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.