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Finding the Fourth Proportional to 32,762.09, 45,211.68 and 17,858.09

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Solution

The fourth proportional to 32,762.09, 45,211.68 and 17,858.09 is: 24,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.09 : 45,211.68 = 17,858.09 : x
  2. Step 2: Convert to fraction form
    32,762.09/45,211.68 = 17,858.09/x
  3. Step 3: Cross multiply
    32,762.09x = 45,211.68 × 17,858.09
  4. Step 4: Simplify right side
    32,762.09x = 807,394,024.43
  5. Step 5: Solve for x
    x = 807,394,024.43/32,762.09
  6. Step 6: Final answer
    x = 24,644.16

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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.