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Finding the Fourth Proportional to 52,155, 78,226.96 and 14,714.08

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Solution

The fourth proportional to 52,155, 78,226.96 and 14,714.08 is: 22,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155 : 78,226.96 = 14,714.08 : x
  2. Step 2: Convert to fraction form
    52,155/78,226.96 = 14,714.08/x
  3. Step 3: Cross multiply
    52,155x = 78,226.96 × 14,714.08
  4. Step 4: Simplify right side
    52,155x = 1,151,037,747.60
  5. Step 5: Solve for x
    x = 1,151,037,747.60/52,155
  6. Step 6: Final answer
    x = 22,069.56

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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.