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Finding the Fourth Proportional to 32,264.80, 44,536.32 and 20,348

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Solution

The fourth proportional to 32,264.80, 44,536.32 and 20,348 is: 28,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264.80 : 44,536.32 = 20,348 : x
  2. Step 2: Convert to fraction form
    32,264.80/44,536.32 = 20,348/x
  3. Step 3: Cross multiply
    32,264.80x = 44,536.32 × 20,348
  4. Step 4: Simplify right side
    32,264.80x = 906,225,039.36
  5. Step 5: Solve for x
    x = 906,225,039.36/32,264.80
  6. Step 6: Final answer
    x = 28,087.11

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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.