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Finding the Fourth Proportional to 31,075.89, 42,886.04 and 16,929.51

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Solution

The fourth proportional to 31,075.89, 42,886.04 and 16,929.51 is: 23,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.89 : 42,886.04 = 16,929.51 : x
  2. Step 2: Convert to fraction form
    31,075.89/42,886.04 = 16,929.51/x
  3. Step 3: Cross multiply
    31,075.89x = 42,886.04 × 16,929.51
  4. Step 4: Simplify right side
    31,075.89x = 726,039,558.39
  5. Step 5: Solve for x
    x = 726,039,558.39/31,075.89
  6. Step 6: Final answer
    x = 23,363.44

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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.