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Finding the Fourth Proportional to 76,857.39, 106,045.14 and 46,642.04

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Solution

The fourth proportional to 76,857.39, 106,045.14 and 46,642.04 is: 64,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857.39 : 106,045.14 = 46,642.04 : x
  2. Step 2: Convert to fraction form
    76,857.39/106,045.14 = 46,642.04/x
  3. Step 3: Cross multiply
    76,857.39x = 106,045.14 × 46,642.04
  4. Step 4: Simplify right side
    76,857.39x = 4,946,161,131.46
  5. Step 5: Solve for x
    x = 4,946,161,131.46/76,857.39
  6. Step 6: Final answer
    x = 64,355.05

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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.