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Finding the Fourth Proportional to 83,073.68, 114,624.16 and 52,848

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Solution

The fourth proportional to 83,073.68, 114,624.16 and 52,848 is: 72,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.68 : 114,624.16 = 52,848 : x
  2. Step 2: Convert to fraction form
    83,073.68/114,624.16 = 52,848/x
  3. Step 3: Cross multiply
    83,073.68x = 114,624.16 × 52,848
  4. Step 4: Simplify right side
    83,073.68x = 6,057,657,607.68
  5. Step 5: Solve for x
    x = 6,057,657,607.68/83,073.68
  6. Step 6: Final answer
    x = 72,919.10

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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.