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Finding the Fourth Proportional to 45,509.80, 62,785.11 and 27,598.27

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Solution

The fourth proportional to 45,509.80, 62,785.11 and 27,598.27 is: 38,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,509.80 : 62,785.11 = 27,598.27 : x
  2. Step 2: Convert to fraction form
    45,509.80/62,785.11 = 27,598.27/x
  3. Step 3: Cross multiply
    45,509.80x = 62,785.11 × 27,598.27
  4. Step 4: Simplify right side
    45,509.80x = 1,732,760,417.76
  5. Step 5: Solve for x
    x = 1,732,760,417.76/45,509.80
  6. Step 6: Final answer
    x = 38,074.45

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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.