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Finding the Fourth Proportional to 32,906, 45,411.36 and 18,002

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Solution

The fourth proportional to 32,906, 45,411.36 and 18,002 is: 24,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906 : 45,411.36 = 18,002 : x
  2. Step 2: Convert to fraction form
    32,906/45,411.36 = 18,002/x
  3. Step 3: Cross multiply
    32,906x = 45,411.36 × 18,002
  4. Step 4: Simplify right side
    32,906x = 817,495,302.72
  5. Step 5: Solve for x
    x = 817,495,302.72/32,906
  6. Step 6: Final answer
    x = 24,843.35

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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.