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Finding the Fourth Proportional to 76,374.97, 105,392.70 and 46,142.43

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Solution

The fourth proportional to 76,374.97, 105,392.70 and 46,142.43 is: 63,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.97 : 105,392.70 = 46,142.43 : x
  2. Step 2: Convert to fraction form
    76,374.97/105,392.70 = 46,142.43/x
  3. Step 3: Cross multiply
    76,374.97x = 105,392.70 × 46,142.43
  4. Step 4: Simplify right side
    76,374.97x = 4,863,075,051.55
  5. Step 5: Solve for x
    x = 4,863,075,051.55/76,374.97
  6. Step 6: Final answer
    x = 63,673.68

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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.