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Finding the Fourth Proportional to 32,588, 44,971.48 and 17,684

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Solution

The fourth proportional to 32,588, 44,971.48 and 17,684 is: 24,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588 : 44,971.48 = 17,684 : x
  2. Step 2: Convert to fraction form
    32,588/44,971.48 = 17,684/x
  3. Step 3: Cross multiply
    32,588x = 44,971.48 × 17,684
  4. Step 4: Simplify right side
    32,588x = 795,275,652.32
  5. Step 5: Solve for x
    x = 795,275,652.32/32,588
  6. Step 6: Final answer
    x = 24,403.94

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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.