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Finding the Fourth Proportional to 56,258.32, 77,644.20 and 33,898

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Solution

The fourth proportional to 56,258.32, 77,644.20 and 33,898 is: 46,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,258.32 : 77,644.20 = 33,898 : x
  2. Step 2: Convert to fraction form
    56,258.32/77,644.20 = 33,898/x
  3. Step 3: Cross multiply
    56,258.32x = 77,644.20 × 33,898
  4. Step 4: Simplify right side
    56,258.32x = 2,631,983,091.60
  5. Step 5: Solve for x
    x = 2,631,983,091.60/56,258.32
  6. Step 6: Final answer
    x = 46,783.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.