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Finding the Fourth Proportional to 42,680.01, 64,051.55 and 20,506.23

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Solution

The fourth proportional to 42,680.01, 64,051.55 and 20,506.23 is: 30,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680.01 : 64,051.55 = 20,506.23 : x
  2. Step 2: Convert to fraction form
    42,680.01/64,051.55 = 20,506.23/x
  3. Step 3: Cross multiply
    42,680.01x = 64,051.55 × 20,506.23
  4. Step 4: Simplify right side
    42,680.01x = 1,313,455,713.63
  5. Step 5: Solve for x
    x = 1,313,455,713.63/42,680.01
  6. Step 6: Final answer
    x = 30,774.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.