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Finding the Fourth Proportional to 32,564, 44,938.56 and 17,660

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Solution

The fourth proportional to 32,564, 44,938.56 and 17,660 is: 24,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564 : 44,938.56 = 17,660 : x
  2. Step 2: Convert to fraction form
    32,564/44,938.56 = 17,660/x
  3. Step 3: Cross multiply
    32,564x = 44,938.56 × 17,660
  4. Step 4: Simplify right side
    32,564x = 793,614,969.60
  5. Step 5: Solve for x
    x = 793,614,969.60/32,564
  6. Step 6: Final answer
    x = 24,370.93

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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.