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Finding the Fourth Proportional to 32,046.32, 48,075.02 and 14,283.30

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Solution

The fourth proportional to 32,046.32, 48,075.02 and 14,283.30 is: 21,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.32 : 48,075.02 = 14,283.30 : x
  2. Step 2: Convert to fraction form
    32,046.32/48,075.02 = 14,283.30/x
  3. Step 3: Cross multiply
    32,046.32x = 48,075.02 × 14,283.30
  4. Step 4: Simplify right side
    32,046.32x = 686,669,933.17
  5. Step 5: Solve for x
    x = 686,669,933.17/32,046.32
  6. Step 6: Final answer
    x = 21,427.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.