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Finding the Fourth Proportional to 32,384.55, 48,590.93 and 11,339.71

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Solution

The fourth proportional to 32,384.55, 48,590.93 and 11,339.71 is: 17,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.55 : 48,590.93 = 11,339.71 : x
  2. Step 2: Convert to fraction form
    32,384.55/48,590.93 = 11,339.71/x
  3. Step 3: Cross multiply
    32,384.55x = 48,590.93 × 11,339.71
  4. Step 4: Simplify right side
    32,384.55x = 551,006,961.70
  5. Step 5: Solve for x
    x = 551,006,961.70/32,384.55
  6. Step 6: Final answer
    x = 17,014.50

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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.