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Finding the Fourth Proportional to 66,892.16, 100,354.93 and 47,209.16

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Solution

The fourth proportional to 66,892.16, 100,354.93 and 47,209.16 is: 70,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892.16 : 100,354.93 = 47,209.16 : x
  2. Step 2: Convert to fraction form
    66,892.16/100,354.93 = 47,209.16/x
  3. Step 3: Cross multiply
    66,892.16x = 100,354.93 × 47,209.16
  4. Step 4: Simplify right side
    66,892.16x = 4,737,672,080.02
  5. Step 5: Solve for x
    x = 4,737,672,080.02/66,892.16
  6. Step 6: Final answer
    x = 70,825.52

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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.