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Finding the Fourth Proportional to 32,176.80, 48,279.60 and 14,637.60

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Solution

The fourth proportional to 32,176.80, 48,279.60 and 14,637.60 is: 21,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.80 : 48,279.60 = 14,637.60 : x
  2. Step 2: Convert to fraction form
    32,176.80/48,279.60 = 14,637.60/x
  3. Step 3: Cross multiply
    32,176.80x = 48,279.60 × 14,637.60
  4. Step 4: Simplify right side
    32,176.80x = 706,697,472.96
  5. Step 5: Solve for x
    x = 706,697,472.96/32,176.80
  6. Step 6: Final answer
    x = 21,962.95

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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.