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Finding the Fourth Proportional to 32,177.80, 48,281.10 and 14,638.60

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Solution

The fourth proportional to 32,177.80, 48,281.10 and 14,638.60 is: 21,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.80 : 48,281.10 = 14,638.60 : x
  2. Step 2: Convert to fraction form
    32,177.80/48,281.10 = 14,638.60/x
  3. Step 3: Cross multiply
    32,177.80x = 48,281.10 × 14,638.60
  4. Step 4: Simplify right side
    32,177.80x = 706,767,710.46
  5. Step 5: Solve for x
    x = 706,767,710.46/32,177.80
  6. Step 6: Final answer
    x = 21,964.45

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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.