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Finding the Fourth Proportional to 32,192.82, 44,401.68 and 28,207

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Solution

The fourth proportional to 32,192.82, 44,401.68 and 28,207 is: 38,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.82 : 44,401.68 = 28,207 : x
  2. Step 2: Convert to fraction form
    32,192.82/44,401.68 = 28,207/x
  3. Step 3: Cross multiply
    32,192.82x = 44,401.68 × 28,207
  4. Step 4: Simplify right side
    32,192.82x = 1,252,438,187.76
  5. Step 5: Solve for x
    x = 1,252,438,187.76/32,192.82
  6. Step 6: Final answer
    x = 38,904.27

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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.