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Finding the Fourth Proportional to 107,603.72, 161,406.36 and 37,482.80

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Solution

The fourth proportional to 107,603.72, 161,406.36 and 37,482.80 is: 56,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,603.72 : 161,406.36 = 37,482.80 : x
  2. Step 2: Convert to fraction form
    107,603.72/161,406.36 = 37,482.80/x
  3. Step 3: Cross multiply
    107,603.72x = 161,406.36 × 37,482.80
  4. Step 4: Simplify right side
    107,603.72x = 6,049,962,310.61
  5. Step 5: Solve for x
    x = 6,049,962,310.61/107,603.72
  6. Step 6: Final answer
    x = 56,224.47

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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.