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Finding the Fourth Proportional to 35,699.96, 49,265.16 and 19,784.60

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Solution

The fourth proportional to 35,699.96, 49,265.16 and 19,784.60 is: 27,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.96 : 49,265.16 = 19,784.60 : x
  2. Step 2: Convert to fraction form
    35,699.96/49,265.16 = 19,784.60/x
  3. Step 3: Cross multiply
    35,699.96x = 49,265.16 × 19,784.60
  4. Step 4: Simplify right side
    35,699.96x = 974,691,484.54
  5. Step 5: Solve for x
    x = 974,691,484.54/35,699.96
  6. Step 6: Final answer
    x = 27,302.31

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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.