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Finding the Fourth Proportional to 32,075, 44,262.74 and 17,929.16

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Solution

The fourth proportional to 32,075, 44,262.74 and 17,929.16 is: 24,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075 : 44,262.74 = 17,929.16 : x
  2. Step 2: Convert to fraction form
    32,075/44,262.74 = 17,929.16/x
  3. Step 3: Cross multiply
    32,075x = 44,262.74 × 17,929.16
  4. Step 4: Simplify right side
    32,075x = 793,593,747.50
  5. Step 5: Solve for x
    x = 793,593,747.50/32,075
  6. Step 6: Final answer
    x = 24,741.82

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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.