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Finding the Fourth Proportional to 35,331.60, 52,978.20 and 14,557.20

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Solution

The fourth proportional to 35,331.60, 52,978.20 and 14,557.20 is: 21,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,331.60 : 52,978.20 = 14,557.20 : x
  2. Step 2: Convert to fraction form
    35,331.60/52,978.20 = 14,557.20/x
  3. Step 3: Cross multiply
    35,331.60x = 52,978.20 × 14,557.20
  4. Step 4: Simplify right side
    35,331.60x = 771,214,253.04
  5. Step 5: Solve for x
    x = 771,214,253.04/35,331.60
  6. Step 6: Final answer
    x = 21,827.89

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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.