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Finding the Fourth Proportional to 32,071.38, 44,259.46 and 17,924.26

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Solution

The fourth proportional to 32,071.38, 44,259.46 and 17,924.26 is: 24,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.38 : 44,259.46 = 17,924.26 : x
  2. Step 2: Convert to fraction form
    32,071.38/44,259.46 = 17,924.26/x
  3. Step 3: Cross multiply
    32,071.38x = 44,259.46 × 17,924.26
  4. Step 4: Simplify right side
    32,071.38x = 793,318,068.50
  5. Step 5: Solve for x
    x = 793,318,068.50/32,071.38
  6. Step 6: Final answer
    x = 24,736.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.