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Finding the Fourth Proportional to 32,605.12, 45,014.16 and 23,644

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Solution

The fourth proportional to 32,605.12, 45,014.16 and 23,644 is: 32,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.12 : 45,014.16 = 23,644 : x
  2. Step 2: Convert to fraction form
    32,605.12/45,014.16 = 23,644/x
  3. Step 3: Cross multiply
    32,605.12x = 45,014.16 × 23,644
  4. Step 4: Simplify right side
    32,605.12x = 1,064,314,799.04
  5. Step 5: Solve for x
    x = 1,064,314,799.04/32,605.12
  6. Step 6: Final answer
    x = 32,642.57

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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.