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Finding the Fourth Proportional to 32,532.50, 44,894.47 and 17,628.50

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Solution

The fourth proportional to 32,532.50, 44,894.47 and 17,628.50 is: 24,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.50 : 44,894.47 = 17,628.50 : x
  2. Step 2: Convert to fraction form
    32,532.50/44,894.47 = 17,628.50/x
  3. Step 3: Cross multiply
    32,532.50x = 44,894.47 × 17,628.50
  4. Step 4: Simplify right side
    32,532.50x = 791,422,164.40
  5. Step 5: Solve for x
    x = 791,422,164.40/32,532.50
  6. Step 6: Final answer
    x = 24,327.12

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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.