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Finding the Fourth Proportional to 32,078.04, 48,115.98 and 11,301

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Solution

The fourth proportional to 32,078.04, 48,115.98 and 11,301 is: 16,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.04 : 48,115.98 = 11,301 : x
  2. Step 2: Convert to fraction form
    32,078.04/48,115.98 = 11,301/x
  3. Step 3: Cross multiply
    32,078.04x = 48,115.98 × 11,301
  4. Step 4: Simplify right side
    32,078.04x = 543,758,689.98
  5. Step 5: Solve for x
    x = 543,758,689.98/32,078.04
  6. Step 6: Final answer
    x = 16,951.12

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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.