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Finding the Fourth Proportional to 32,594.26, 48,914.71 and 13,887.40

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Solution

The fourth proportional to 32,594.26, 48,914.71 and 13,887.40 is: 20,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.26 : 48,914.71 = 13,887.40 : x
  2. Step 2: Convert to fraction form
    32,594.26/48,914.71 = 13,887.40/x
  3. Step 3: Cross multiply
    32,594.26x = 48,914.71 × 13,887.40
  4. Step 4: Simplify right side
    32,594.26x = 679,298,143.65
  5. Step 5: Solve for x
    x = 679,298,143.65/32,594.26
  6. Step 6: Final answer
    x = 20,841.04

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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.