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Finding the Fourth Proportional to 35,977.77, 53,919.27 and 20,182.50

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Solution

The fourth proportional to 35,977.77, 53,919.27 and 20,182.50 is: 30,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.77 : 53,919.27 = 20,182.50 : x
  2. Step 2: Convert to fraction form
    35,977.77/53,919.27 = 20,182.50/x
  3. Step 3: Cross multiply
    35,977.77x = 53,919.27 × 20,182.50
  4. Step 4: Simplify right side
    35,977.77x = 1,088,225,666.78
  5. Step 5: Solve for x
    x = 1,088,225,666.78/35,977.77
  6. Step 6: Final answer
    x = 30,247.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.