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Finding the Fourth Proportional to 76,804.35, 105,989.76 and 44,966.90

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Solution

The fourth proportional to 76,804.35, 105,989.76 and 44,966.90 is: 62,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804.35 : 105,989.76 = 44,966.90 : x
  2. Step 2: Convert to fraction form
    76,804.35/105,989.76 = 44,966.90/x
  3. Step 3: Cross multiply
    76,804.35x = 105,989.76 × 44,966.90
  4. Step 4: Simplify right side
    76,804.35x = 4,766,030,409.00
  5. Step 5: Solve for x
    x = 4,766,030,409.00/76,804.35
  6. Step 6: Final answer
    x = 62,054.17

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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.