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Finding the Fourth Proportional to 104,730.48, 144,529.54 and 56,983.86

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Solution

The fourth proportional to 104,730.48, 144,529.54 and 56,983.86 is: 78,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,730.48 : 144,529.54 = 56,983.86 : x
  2. Step 2: Convert to fraction form
    104,730.48/144,529.54 = 56,983.86/x
  3. Step 3: Cross multiply
    104,730.48x = 144,529.54 × 56,983.86
  4. Step 4: Simplify right side
    104,730.48x = 8,235,851,073.22
  5. Step 5: Solve for x
    x = 8,235,851,073.22/104,730.48
  6. Step 6: Final answer
    x = 78,638.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.