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Finding the Fourth Proportional to 35,480.10, 48,962.64 and 19,564.20

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Solution

The fourth proportional to 35,480.10, 48,962.64 and 19,564.20 is: 26,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480.10 : 48,962.64 = 19,564.20 : x
  2. Step 2: Convert to fraction form
    35,480.10/48,962.64 = 19,564.20/x
  3. Step 3: Cross multiply
    35,480.10x = 48,962.64 × 19,564.20
  4. Step 4: Simplify right side
    35,480.10x = 957,914,881.49
  5. Step 5: Solve for x
    x = 957,914,881.49/35,480.10
  6. Step 6: Final answer
    x = 26,998.65

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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.