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Finding the Fourth Proportional to 107,281.71, 160,922.70 and 37,161.02

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Solution

The fourth proportional to 107,281.71, 160,922.70 and 37,161.02 is: 55,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,281.71 : 160,922.70 = 37,161.02 : x
  2. Step 2: Convert to fraction form
    107,281.71/160,922.70 = 37,161.02/x
  3. Step 3: Cross multiply
    107,281.71x = 160,922.70 × 37,161.02
  4. Step 4: Simplify right side
    107,281.71x = 5,980,050,868.54
  5. Step 5: Solve for x
    x = 5,980,050,868.54/107,281.71
  6. Step 6: Final answer
    x = 55,741.57

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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.