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Finding the Fourth Proportional to 77,065.87, 106,338.54 and 46,835.05

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Solution

The fourth proportional to 77,065.87, 106,338.54 and 46,835.05 is: 64,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065.87 : 106,338.54 = 46,835.05 : x
  2. Step 2: Convert to fraction form
    77,065.87/106,338.54 = 46,835.05/x
  3. Step 3: Cross multiply
    77,065.87x = 106,338.54 × 46,835.05
  4. Step 4: Simplify right side
    77,065.87x = 4,980,370,837.83
  5. Step 5: Solve for x
    x = 4,980,370,837.83/77,065.87
  6. Step 6: Final answer
    x = 64,624.86

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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.