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Finding the Fourth Proportional to 35,892.48, 49,524.06 and 20,784.24

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Solution

The fourth proportional to 35,892.48, 49,524.06 and 20,784.24 is: 28,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.48 : 49,524.06 = 20,784.24 : x
  2. Step 2: Convert to fraction form
    35,892.48/49,524.06 = 20,784.24/x
  3. Step 3: Cross multiply
    35,892.48x = 49,524.06 × 20,784.24
  4. Step 4: Simplify right side
    35,892.48x = 1,029,319,948.81
  5. Step 5: Solve for x
    x = 1,029,319,948.81/35,892.48
  6. Step 6: Final answer
    x = 28,677.87

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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.