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Finding the Fourth Proportional to 35,699.70, 49,265.71 and 19,784.42

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Solution

The fourth proportional to 35,699.70, 49,265.71 and 19,784.42 is: 27,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.70 : 49,265.71 = 19,784.42 : x
  2. Step 2: Convert to fraction form
    35,699.70/49,265.71 = 19,784.42/x
  3. Step 3: Cross multiply
    35,699.70x = 49,265.71 × 19,784.42
  4. Step 4: Simplify right side
    35,699.70x = 974,693,498.24
  5. Step 5: Solve for x
    x = 974,693,498.24/35,699.70
  6. Step 6: Final answer
    x = 27,302.57

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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.