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Finding the Fourth Proportional to 100,889.57, 151,281.80 and 37,657.69

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Solution

The fourth proportional to 100,889.57, 151,281.80 and 37,657.69 is: 56,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,889.57 : 151,281.80 = 37,657.69 : x
  2. Step 2: Convert to fraction form
    100,889.57/151,281.80 = 37,657.69/x
  3. Step 3: Cross multiply
    100,889.57x = 151,281.80 × 37,657.69
  4. Step 4: Simplify right side
    100,889.57x = 5,696,922,701.77
  5. Step 5: Solve for x
    x = 5,696,922,701.77/100,889.57
  6. Step 6: Final answer
    x = 56,466.91

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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.