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Finding the Fourth Proportional to 37,611.93, 56,418 and 9,532

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Solution

The fourth proportional to 37,611.93, 56,418 and 9,532 is: 14,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611.93 : 56,418 = 9,532 : x
  2. Step 2: Convert to fraction form
    37,611.93/56,418 = 9,532/x
  3. Step 3: Cross multiply
    37,611.93x = 56,418 × 9,532
  4. Step 4: Simplify right side
    37,611.93x = 537,776,376
  5. Step 5: Solve for x
    x = 537,776,376/37,611.93
  6. Step 6: Final answer
    x = 14,298.03

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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.