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Finding the Fourth Proportional to 35,258.92, 48,657.18 and 21,827.50

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Solution

The fourth proportional to 35,258.92, 48,657.18 and 21,827.50 is: 30,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,258.92 : 48,657.18 = 21,827.50 : x
  2. Step 2: Convert to fraction form
    35,258.92/48,657.18 = 21,827.50/x
  3. Step 3: Cross multiply
    35,258.92x = 48,657.18 × 21,827.50
  4. Step 4: Simplify right side
    35,258.92x = 1,062,064,596.45
  5. Step 5: Solve for x
    x = 1,062,064,596.45/35,258.92
  6. Step 6: Final answer
    x = 30,121.87

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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.