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Finding the Fourth Proportional to 101,537.25, 152,404.28 and 48,983.64

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Solution

The fourth proportional to 101,537.25, 152,404.28 and 48,983.64 is: 73,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,537.25 : 152,404.28 = 48,983.64 : x
  2. Step 2: Convert to fraction form
    101,537.25/152,404.28 = 48,983.64/x
  3. Step 3: Cross multiply
    101,537.25x = 152,404.28 × 48,983.64
  4. Step 4: Simplify right side
    101,537.25x = 7,465,316,385.98
  5. Step 5: Solve for x
    x = 7,465,316,385.98/101,537.25
  6. Step 6: Final answer
    x = 73,522.93

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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.