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Finding the Fourth Proportional to 32,641.50, 48,955.38 and 15,984.75

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Solution

The fourth proportional to 32,641.50, 48,955.38 and 15,984.75 is: 23,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.50 : 48,955.38 = 15,984.75 : x
  2. Step 2: Convert to fraction form
    32,641.50/48,955.38 = 15,984.75/x
  3. Step 3: Cross multiply
    32,641.50x = 48,955.38 × 15,984.75
  4. Step 4: Simplify right side
    32,641.50x = 782,539,510.46
  5. Step 5: Solve for x
    x = 782,539,510.46/32,641.50
  6. Step 6: Final answer
    x = 23,973.76

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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.