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Finding the Fourth Proportional to 67,772.19, 93,526.15 and 37,558

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Solution

The fourth proportional to 67,772.19, 93,526.15 and 37,558 is: 51,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,772.19 : 93,526.15 = 37,558 : x
  2. Step 2: Convert to fraction form
    67,772.19/93,526.15 = 37,558/x
  3. Step 3: Cross multiply
    67,772.19x = 93,526.15 × 37,558
  4. Step 4: Simplify right side
    67,772.19x = 3,512,655,141.70
  5. Step 5: Solve for x
    x = 3,512,655,141.70/67,772.19
  6. Step 6: Final answer
    x = 51,830.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.