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Finding the Fourth Proportional to 37,125.68, 55,687.64 and 9,045.86

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Solution

The fourth proportional to 37,125.68, 55,687.64 and 9,045.86 is: 13,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125.68 : 55,687.64 = 9,045.86 : x
  2. Step 2: Convert to fraction form
    37,125.68/55,687.64 = 9,045.86/x
  3. Step 3: Cross multiply
    37,125.68x = 55,687.64 × 9,045.86
  4. Step 4: Simplify right side
    37,125.68x = 503,742,271.50
  5. Step 5: Solve for x
    x = 503,742,271.50/37,125.68
  6. Step 6: Final answer
    x = 13,568.57

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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.