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Finding the Fourth Proportional to 102,077.49, 152,894.61 and 49,376.46

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Solution

The fourth proportional to 102,077.49, 152,894.61 and 49,376.46 is: 73,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,077.49 : 152,894.61 = 49,376.46 : x
  2. Step 2: Convert to fraction form
    102,077.49/152,894.61 = 49,376.46/x
  3. Step 3: Cross multiply
    102,077.49x = 152,894.61 × 49,376.46
  4. Step 4: Simplify right side
    102,077.49x = 7,549,394,594.88
  5. Step 5: Solve for x
    x = 7,549,394,594.88/102,077.49
  6. Step 6: Final answer
    x = 73,957.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.