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Finding the Fourth Proportional to 106,070.60, 146,374.62 and 57,671

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Solution

The fourth proportional to 106,070.60, 146,374.62 and 57,671 is: 79,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,070.60 : 146,374.62 = 57,671 : x
  2. Step 2: Convert to fraction form
    106,070.60/146,374.62 = 57,671/x
  3. Step 3: Cross multiply
    106,070.60x = 146,374.62 × 57,671
  4. Step 4: Simplify right side
    106,070.60x = 8,441,570,710.02
  5. Step 5: Solve for x
    x = 8,441,570,710.02/106,070.60
  6. Step 6: Final answer
    x = 79,584.45

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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.