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Finding the Fourth Proportional to 61,529.60, 92,281.80 and 17,145.20

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Solution

The fourth proportional to 61,529.60, 92,281.80 and 17,145.20 is: 25,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,529.60 : 92,281.80 = 17,145.20 : x
  2. Step 2: Convert to fraction form
    61,529.60/92,281.80 = 17,145.20/x
  3. Step 3: Cross multiply
    61,529.60x = 92,281.80 × 17,145.20
  4. Step 4: Simplify right side
    61,529.60x = 1,582,189,917.36
  5. Step 5: Solve for x
    x = 1,582,189,917.36/61,529.60
  6. Step 6: Final answer
    x = 25,714.29

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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.