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Finding the Fourth Proportional to 52,073.64, 78,101.01 and 14,624.46

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Solution

The fourth proportional to 52,073.64, 78,101.01 and 14,624.46 is: 21,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,073.64 : 78,101.01 = 14,624.46 : x
  2. Step 2: Convert to fraction form
    52,073.64/78,101.01 = 14,624.46/x
  3. Step 3: Cross multiply
    52,073.64x = 78,101.01 × 14,624.46
  4. Step 4: Simplify right side
    52,073.64x = 1,142,185,096.70
  5. Step 5: Solve for x
    x = 1,142,185,096.70/52,073.64
  6. Step 6: Final answer
    x = 21,934.04

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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.