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Finding the Fourth Proportional to 35,257.60, 52,905.60 and 14,483.20

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Solution

The fourth proportional to 35,257.60, 52,905.60 and 14,483.20 is: 21,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,257.60 : 52,905.60 = 14,483.20 : x
  2. Step 2: Convert to fraction form
    35,257.60/52,905.60 = 14,483.20/x
  3. Step 3: Cross multiply
    35,257.60x = 52,905.60 × 14,483.20
  4. Step 4: Simplify right side
    35,257.60x = 766,242,385.92
  5. Step 5: Solve for x
    x = 766,242,385.92/35,257.60
  6. Step 6: Final answer
    x = 21,732.69

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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.