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Finding the Fourth Proportional to 32,486.16, 48,729.24 and 23,657.70

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Solution

The fourth proportional to 32,486.16, 48,729.24 and 23,657.70 is: 35,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.16 : 48,729.24 = 23,657.70 : x
  2. Step 2: Convert to fraction form
    32,486.16/48,729.24 = 23,657.70/x
  3. Step 3: Cross multiply
    32,486.16x = 48,729.24 × 23,657.70
  4. Step 4: Simplify right side
    32,486.16x = 1,152,821,741.15
  5. Step 5: Solve for x
    x = 1,152,821,741.15/32,486.16
  6. Step 6: Final answer
    x = 35,486.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.