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Finding the Fourth Proportional to 35,699.97, 49,266.32 and 19,784.77

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Solution

The fourth proportional to 35,699.97, 49,266.32 and 19,784.77 is: 27,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.97 : 49,266.32 = 19,784.77 : x
  2. Step 2: Convert to fraction form
    35,699.97/49,266.32 = 19,784.77/x
  3. Step 3: Cross multiply
    35,699.97x = 49,266.32 × 19,784.77
  4. Step 4: Simplify right side
    35,699.97x = 974,722,587.86
  5. Step 5: Solve for x
    x = 974,722,587.86/35,699.97
  6. Step 6: Final answer
    x = 27,303.17

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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.