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Finding the Fourth Proportional to 71,354.30, 106,999.05 and 26,966.30

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Solution

The fourth proportional to 71,354.30, 106,999.05 and 26,966.30 is: 40,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354.30 : 106,999.05 = 26,966.30 : x
  2. Step 2: Convert to fraction form
    71,354.30/106,999.05 = 26,966.30/x
  3. Step 3: Cross multiply
    71,354.30x = 106,999.05 × 26,966.30
  4. Step 4: Simplify right side
    71,354.30x = 2,885,368,482.02
  5. Step 5: Solve for x
    x = 2,885,368,482.02/71,354.30
  6. Step 6: Final answer
    x = 40,437.21

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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.