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Finding the Fourth Proportional to 32,588.19, 44,971.65 and 17,684.19

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Solution

The fourth proportional to 32,588.19, 44,971.65 and 17,684.19 is: 24,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.19 : 44,971.65 = 17,684.19 : x
  2. Step 2: Convert to fraction form
    32,588.19/44,971.65 = 17,684.19/x
  3. Step 3: Cross multiply
    32,588.19x = 44,971.65 × 17,684.19
  4. Step 4: Simplify right side
    32,588.19x = 795,287,203.21
  5. Step 5: Solve for x
    x = 795,287,203.21/32,588.19
  6. Step 6: Final answer
    x = 24,404.15

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1.5x scale

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.