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Finding the Fourth Proportional to 77,323.94, 106,714.50 and 43,338.15

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Solution

The fourth proportional to 77,323.94, 106,714.50 and 43,338.15 is: 59,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.94 : 106,714.50 = 43,338.15 : x
  2. Step 2: Convert to fraction form
    77,323.94/106,714.50 = 43,338.15/x
  3. Step 3: Cross multiply
    77,323.94x = 106,714.50 × 43,338.15
  4. Step 4: Simplify right side
    77,323.94x = 4,624,809,008.18
  5. Step 5: Solve for x
    x = 4,624,809,008.18/77,323.94
  6. Step 6: Final answer
    x = 59,810.83

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1.5x scale

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.