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Finding the Fourth Proportional to 76,967.74, 106,187.38 and 45,130.47

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Solution

The fourth proportional to 76,967.74, 106,187.38 and 45,130.47 is: 62,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967.74 : 106,187.38 = 45,130.47 : x
  2. Step 2: Convert to fraction form
    76,967.74/106,187.38 = 45,130.47/x
  3. Step 3: Cross multiply
    76,967.74x = 106,187.38 × 45,130.47
  4. Step 4: Simplify right side
    76,967.74x = 4,792,286,367.47
  5. Step 5: Solve for x
    x = 4,792,286,367.47/76,967.74
  6. Step 6: Final answer
    x = 62,263.57

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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.