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Finding the Fourth Proportional to 85,061, 127,592.04 and 29,657

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Solution

The fourth proportional to 85,061, 127,592.04 and 29,657 is: 44,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,061 : 127,592.04 = 29,657 : x
  2. Step 2: Convert to fraction form
    85,061/127,592.04 = 29,657/x
  3. Step 3: Cross multiply
    85,061x = 127,592.04 × 29,657
  4. Step 4: Simplify right side
    85,061x = 3,783,997,130.28
  5. Step 5: Solve for x
    x = 3,783,997,130.28/85,061
  6. Step 6: Final answer
    x = 44,485.69

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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.