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Finding the Fourth Proportional to 32,516.64, 48,758.40 and 15,877.44

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Solution

The fourth proportional to 32,516.64, 48,758.40 and 15,877.44 is: 23,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.64 : 48,758.40 = 15,877.44 : x
  2. Step 2: Convert to fraction form
    32,516.64/48,758.40 = 15,877.44/x
  3. Step 3: Cross multiply
    32,516.64x = 48,758.40 × 15,877.44
  4. Step 4: Simplify right side
    32,516.64x = 774,158,570.50
  5. Step 5: Solve for x
    x = 774,158,570.50/32,516.64
  6. Step 6: Final answer
    x = 23,808.07

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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.