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Finding the Fourth Proportional to 35,483.40, 48,954.92 and 22,746.87

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Solution

The fourth proportional to 35,483.40, 48,954.92 and 22,746.87 is: 31,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,483.40 : 48,954.92 = 22,746.87 : x
  2. Step 2: Convert to fraction form
    35,483.40/48,954.92 = 22,746.87/x
  3. Step 3: Cross multiply
    35,483.40x = 48,954.92 × 22,746.87
  4. Step 4: Simplify right side
    35,483.40x = 1,113,571,087.37
  5. Step 5: Solve for x
    x = 1,113,571,087.37/35,483.40
  6. Step 6: Final answer
    x = 31,382.87

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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.