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Finding the Fourth Proportional to 34,641.60, 51,962.40 and 32,454.60

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Solution

The fourth proportional to 34,641.60, 51,962.40 and 32,454.60 is: 48,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.60 : 51,962.40 = 32,454.60 : x
  2. Step 2: Convert to fraction form
    34,641.60/51,962.40 = 32,454.60/x
  3. Step 3: Cross multiply
    34,641.60x = 51,962.40 × 32,454.60
  4. Step 4: Simplify right side
    34,641.60x = 1,686,418,907.04
  5. Step 5: Solve for x
    x = 1,686,418,907.04/34,641.60
  6. Step 6: Final answer
    x = 48,681.90

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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.