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Finding the Fourth Proportional to 32,218.71, 44,462.16 and 18,071.25

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Solution

The fourth proportional to 32,218.71, 44,462.16 and 18,071.25 is: 24,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.71 : 44,462.16 = 18,071.25 : x
  2. Step 2: Convert to fraction form
    32,218.71/44,462.16 = 18,071.25/x
  3. Step 3: Cross multiply
    32,218.71x = 44,462.16 × 18,071.25
  4. Step 4: Simplify right side
    32,218.71x = 803,486,808.90
  5. Step 5: Solve for x
    x = 803,486,808.90/32,218.71
  6. Step 6: Final answer
    x = 24,938.52

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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.