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Finding the Fourth Proportional to 102,736, 141,775.68 and 58,024

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Solution

The fourth proportional to 102,736, 141,775.68 and 58,024 is: 80,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736 : 141,775.68 = 58,024 : x
  2. Step 2: Convert to fraction form
    102,736/141,775.68 = 58,024/x
  3. Step 3: Cross multiply
    102,736x = 141,775.68 × 58,024
  4. Step 4: Simplify right side
    102,736x = 8,226,392,056.32
  5. Step 5: Solve for x
    x = 8,226,392,056.32/102,736
  6. Step 6: Final answer
    x = 80,073.12

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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.