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Finding the Fourth Proportional to 103,835, 155,771.96 and 48,431

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Solution

The fourth proportional to 103,835, 155,771.96 and 48,431 is: 72,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,835 : 155,771.96 = 48,431 : x
  2. Step 2: Convert to fraction form
    103,835/155,771.96 = 48,431/x
  3. Step 3: Cross multiply
    103,835x = 155,771.96 × 48,431
  4. Step 4: Simplify right side
    103,835x = 7,544,191,794.76
  5. Step 5: Solve for x
    x = 7,544,191,794.76/103,835
  6. Step 6: Final answer
    x = 72,655.58

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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.