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Finding the Fourth Proportional to 60,005, 82,806.90 and 33,509

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Solution

The fourth proportional to 60,005, 82,806.90 and 33,509 is: 46,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,005 : 82,806.90 = 33,509 : x
  2. Step 2: Convert to fraction form
    60,005/82,806.90 = 33,509/x
  3. Step 3: Cross multiply
    60,005x = 82,806.90 × 33,509
  4. Step 4: Simplify right side
    60,005x = 2,774,776,412.10
  5. Step 5: Solve for x
    x = 2,774,776,412.10/60,005
  6. Step 6: Final answer
    x = 46,242.42

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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.