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Finding the Fourth Proportional to 103,833, 155,768.96 and 48,429

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Solution

The fourth proportional to 103,833, 155,768.96 and 48,429 is: 72,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,833 : 155,768.96 = 48,429 : x
  2. Step 2: Convert to fraction form
    103,833/155,768.96 = 48,429/x
  3. Step 3: Cross multiply
    103,833x = 155,768.96 × 48,429
  4. Step 4: Simplify right side
    103,833x = 7,543,734,963.84
  5. Step 5: Solve for x
    x = 7,543,734,963.84/103,833
  6. Step 6: Final answer
    x = 72,652.58

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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.