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Finding the Fourth Proportional to 32,642.50, 48,956.88 and 15,985.75

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Solution

The fourth proportional to 32,642.50, 48,956.88 and 15,985.75 is: 23,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.50 : 48,956.88 = 15,985.75 : x
  2. Step 2: Convert to fraction form
    32,642.50/48,956.88 = 15,985.75/x
  3. Step 3: Cross multiply
    32,642.50x = 48,956.88 × 15,985.75
  4. Step 4: Simplify right side
    32,642.50x = 782,612,444.46
  5. Step 5: Solve for x
    x = 782,612,444.46/32,642.50
  6. Step 6: Final answer
    x = 23,975.26

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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.