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Finding the Fourth Proportional to 61,854.36, 92,783.16 and 35,546.64

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Solution

The fourth proportional to 61,854.36, 92,783.16 and 35,546.64 is: 53,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,854.36 : 92,783.16 = 35,546.64 : x
  2. Step 2: Convert to fraction form
    61,854.36/92,783.16 = 35,546.64/x
  3. Step 3: Cross multiply
    61,854.36x = 92,783.16 × 35,546.64
  4. Step 4: Simplify right side
    61,854.36x = 3,298,129,586.58
  5. Step 5: Solve for x
    x = 3,298,129,586.58/61,854.36
  6. Step 6: Final answer
    x = 53,320.89

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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.