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Finding the Fourth Proportional to 69,642.05, 96,106.02 and 37,810.95

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Solution

The fourth proportional to 69,642.05, 96,106.02 and 37,810.95 is: 52,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,642.05 : 96,106.02 = 37,810.95 : x
  2. Step 2: Convert to fraction form
    69,642.05/96,106.02 = 37,810.95/x
  3. Step 3: Cross multiply
    69,642.05x = 96,106.02 × 37,810.95
  4. Step 4: Simplify right side
    69,642.05x = 3,633,860,011.45
  5. Step 5: Solve for x
    x = 3,633,860,011.45/69,642.05
  6. Step 6: Final answer
    x = 52,179.11

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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.