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Finding the Fourth Proportional to 32,468, 44,806.16 and 17,564.32

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Solution

The fourth proportional to 32,468, 44,806.16 and 17,564.32 is: 24,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468 : 44,806.16 = 17,564.32 : x
  2. Step 2: Convert to fraction form
    32,468/44,806.16 = 17,564.32/x
  3. Step 3: Cross multiply
    32,468x = 44,806.16 × 17,564.32
  4. Step 4: Simplify right side
    32,468x = 786,989,732.21
  5. Step 5: Solve for x
    x = 786,989,732.21/32,468
  6. Step 6: Final answer
    x = 24,238.93

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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.