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Finding the Fourth Proportional to 35,735.71, 49,314.02 and 19,821.64

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Solution

The fourth proportional to 35,735.71, 49,314.02 and 19,821.64 is: 27,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.71 : 49,314.02 = 19,821.64 : x
  2. Step 2: Convert to fraction form
    35,735.71/49,314.02 = 19,821.64/x
  3. Step 3: Cross multiply
    35,735.71x = 49,314.02 × 19,821.64
  4. Step 4: Simplify right side
    35,735.71x = 977,484,924.23
  5. Step 5: Solve for x
    x = 977,484,924.23/35,735.71
  6. Step 6: Final answer
    x = 27,353.17

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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.