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Finding the Fourth Proportional to 104,648.38, 156,972.72 and 48,457.87

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Solution

The fourth proportional to 104,648.38, 156,972.72 and 48,457.87 is: 72,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,648.38 : 156,972.72 = 48,457.87 : x
  2. Step 2: Convert to fraction form
    104,648.38/156,972.72 = 48,457.87/x
  3. Step 3: Cross multiply
    104,648.38x = 156,972.72 × 48,457.87
  4. Step 4: Simplify right side
    104,648.38x = 7,606,563,659.31
  5. Step 5: Solve for x
    x = 7,606,563,659.31/104,648.38
  6. Step 6: Final answer
    x = 72,686.87

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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.