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Finding the Fourth Proportional to 35,980.44, 49,653.12 and 20,066.08

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Solution

The fourth proportional to 35,980.44, 49,653.12 and 20,066.08 is: 27,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.44 : 49,653.12 = 20,066.08 : x
  2. Step 2: Convert to fraction form
    35,980.44/49,653.12 = 20,066.08/x
  3. Step 3: Cross multiply
    35,980.44x = 49,653.12 × 20,066.08
  4. Step 4: Simplify right side
    35,980.44x = 996,343,478.17
  5. Step 5: Solve for x
    x = 996,343,478.17/35,980.44
  6. Step 6: Final answer
    x = 27,691.25

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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.