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Finding the Fourth Proportional to 30,929.41, 42,682.43 and 16,782.25

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Solution

The fourth proportional to 30,929.41, 42,682.43 and 16,782.25 is: 23,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.41 : 42,682.43 = 16,782.25 : x
  2. Step 2: Convert to fraction form
    30,929.41/42,682.43 = 16,782.25/x
  3. Step 3: Cross multiply
    30,929.41x = 42,682.43 × 16,782.25
  4. Step 4: Simplify right side
    30,929.41x = 716,307,210.87
  5. Step 5: Solve for x
    x = 716,307,210.87/30,929.41
  6. Step 6: Final answer
    x = 23,159.42

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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.