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Finding the Fourth Proportional to 102,396.06, 153,594.07 and 32,280.86

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Solution

The fourth proportional to 102,396.06, 153,594.07 and 32,280.86 is: 48,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396.06 : 153,594.07 = 32,280.86 : x
  2. Step 2: Convert to fraction form
    102,396.06/153,594.07 = 32,280.86/x
  3. Step 3: Cross multiply
    102,396.06x = 153,594.07 × 32,280.86
  4. Step 4: Simplify right side
    102,396.06x = 4,958,148,670.50
  5. Step 5: Solve for x
    x = 4,958,148,670.50/102,396.06
  6. Step 6: Final answer
    x = 48,421.28

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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.