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Finding the Fourth Proportional to 32,516.50, 48,774.76 and 9,142.93

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Solution

The fourth proportional to 32,516.50, 48,774.76 and 9,142.93 is: 13,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.50 : 48,774.76 = 9,142.93 : x
  2. Step 2: Convert to fraction form
    32,516.50/48,774.76 = 9,142.93/x
  3. Step 3: Cross multiply
    32,516.50x = 48,774.76 × 9,142.93
  4. Step 4: Simplify right side
    32,516.50x = 445,944,443.17
  5. Step 5: Solve for x
    x = 445,944,443.17/32,516.50
  6. Step 6: Final answer
    x = 13,714.41

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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.