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Finding the Fourth Proportional to 76,994.19, 115,696.31 and 41,482.77

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Solution

The fourth proportional to 76,994.19, 115,696.31 and 41,482.77 is: 62,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,994.19 : 115,696.31 = 41,482.77 : x
  2. Step 2: Convert to fraction form
    76,994.19/115,696.31 = 41,482.77/x
  3. Step 3: Cross multiply
    76,994.19x = 115,696.31 × 41,482.77
  4. Step 4: Simplify right side
    76,994.19x = 4,799,403,210.16
  5. Step 5: Solve for x
    x = 4,799,403,210.16/76,994.19
  6. Step 6: Final answer
    x = 62,334.62

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Why These Related Problems?

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