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Finding the Fourth Proportional to 35,461.64, 48,938.10 and 19,546.28

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Solution

The fourth proportional to 35,461.64, 48,938.10 and 19,546.28 is: 26,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,461.64 : 48,938.10 = 19,546.28 : x
  2. Step 2: Convert to fraction form
    35,461.64/48,938.10 = 19,546.28/x
  3. Step 3: Cross multiply
    35,461.64x = 48,938.10 × 19,546.28
  4. Step 4: Simplify right side
    35,461.64x = 956,557,805.27
  5. Step 5: Solve for x
    x = 956,557,805.27/35,461.64
  6. Step 6: Final answer
    x = 26,974.44

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1.5x scale

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.