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Finding the Fourth Proportional to 32,071.64, 48,108.30 and 15,200.70

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Solution

The fourth proportional to 32,071.64, 48,108.30 and 15,200.70 is: 22,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.64 : 48,108.30 = 15,200.70 : x
  2. Step 2: Convert to fraction form
    32,071.64/48,108.30 = 15,200.70/x
  3. Step 3: Cross multiply
    32,071.64x = 48,108.30 × 15,200.70
  4. Step 4: Simplify right side
    32,071.64x = 731,279,835.81
  5. Step 5: Solve for x
    x = 731,279,835.81/32,071.64
  6. Step 6: Final answer
    x = 22,801.45

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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.