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Finding the Fourth Proportional to 32,080.50, 48,088.76 and 15,435.81

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Solution

The fourth proportional to 32,080.50, 48,088.76 and 15,435.81 is: 23,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.50 : 48,088.76 = 15,435.81 : x
  2. Step 2: Convert to fraction form
    32,080.50/48,088.76 = 15,435.81/x
  3. Step 3: Cross multiply
    32,080.50x = 48,088.76 × 15,435.81
  4. Step 4: Simplify right side
    32,080.50x = 742,288,885.32
  5. Step 5: Solve for x
    x = 742,288,885.32/32,080.50
  6. Step 6: Final answer
    x = 23,138.32

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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.