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Finding the Fourth Proportional to 85,070, 127,606.08 and 29,666

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Solution

The fourth proportional to 85,070, 127,606.08 and 29,666 is: 44,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,070 : 127,606.08 = 29,666 : x
  2. Step 2: Convert to fraction form
    85,070/127,606.08 = 29,666/x
  3. Step 3: Cross multiply
    85,070x = 127,606.08 × 29,666
  4. Step 4: Simplify right side
    85,070x = 3,785,561,969.28
  5. Step 5: Solve for x
    x = 3,785,561,969.28/85,070
  6. Step 6: Final answer
    x = 44,499.38

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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.