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Finding the Fourth Proportional to 35,646.50, 49,190.48 and 19,513.50

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Solution

The fourth proportional to 35,646.50, 49,190.48 and 19,513.50 is: 26,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.50 : 49,190.48 = 19,513.50 : x
  2. Step 2: Convert to fraction form
    35,646.50/49,190.48 = 19,513.50/x
  3. Step 3: Cross multiply
    35,646.50x = 49,190.48 × 19,513.50
  4. Step 4: Simplify right side
    35,646.50x = 959,878,431.48
  5. Step 5: Solve for x
    x = 959,878,431.48/35,646.50
  6. Step 6: Final answer
    x = 26,927.70

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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.