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Finding the Fourth Proportional to 35,946.99, 49,601.03 and 20,031.03

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Solution

The fourth proportional to 35,946.99, 49,601.03 and 20,031.03 is: 27,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,946.99 : 49,601.03 = 20,031.03 : x
  2. Step 2: Convert to fraction form
    35,946.99/49,601.03 = 20,031.03/x
  3. Step 3: Cross multiply
    35,946.99x = 49,601.03 × 20,031.03
  4. Step 4: Simplify right side
    35,946.99x = 993,559,619.81
  5. Step 5: Solve for x
    x = 993,559,619.81/35,946.99
  6. Step 6: Final answer
    x = 27,639.58

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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.