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Finding the Fourth Proportional to 77,035.37, 106,321.01 and 46,830.16

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Solution

The fourth proportional to 77,035.37, 106,321.01 and 46,830.16 is: 64,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035.37 : 106,321.01 = 46,830.16 : x
  2. Step 2: Convert to fraction form
    77,035.37/106,321.01 = 46,830.16/x
  3. Step 3: Cross multiply
    77,035.37x = 106,321.01 × 46,830.16
  4. Step 4: Simplify right side
    77,035.37x = 4,979,029,957.93
  5. Step 5: Solve for x
    x = 4,979,029,957.93/77,035.37
  6. Step 6: Final answer
    x = 64,633.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.