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Finding the Fourth Proportional to 30,929.64, 42,682.71 and 16,782.18

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Solution

The fourth proportional to 30,929.64, 42,682.71 and 16,782.18 is: 23,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.64 : 42,682.71 = 16,782.18 : x
  2. Step 2: Convert to fraction form
    30,929.64/42,682.71 = 16,782.18/x
  3. Step 3: Cross multiply
    30,929.64x = 42,682.71 × 16,782.18
  4. Step 4: Simplify right side
    30,929.64x = 716,308,922.11
  5. Step 5: Solve for x
    x = 716,308,922.11/30,929.64
  6. Step 6: Final answer
    x = 23,159.30

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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.