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Finding the Fourth Proportional to 35,807.96, 49,416.74 and 19,892.07

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Solution

The fourth proportional to 35,807.96, 49,416.74 and 19,892.07 is: 27,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.96 : 49,416.74 = 19,892.07 : x
  2. Step 2: Convert to fraction form
    35,807.96/49,416.74 = 19,892.07/x
  3. Step 3: Cross multiply
    35,807.96x = 49,416.74 × 19,892.07
  4. Step 4: Simplify right side
    35,807.96x = 983,001,151.79
  5. Step 5: Solve for x
    x = 983,001,151.79/35,807.96
  6. Step 6: Final answer
    x = 27,452.03

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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.