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Finding the Fourth Proportional to 105,409.30, 145,464.66 and 57,662.65

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Solution

The fourth proportional to 105,409.30, 145,464.66 and 57,662.65 is: 79,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.30 : 145,464.66 = 57,662.65 : x
  2. Step 2: Convert to fraction form
    105,409.30/145,464.66 = 57,662.65/x
  3. Step 3: Cross multiply
    105,409.30x = 145,464.66 × 57,662.65
  4. Step 4: Simplify right side
    105,409.30x = 8,387,877,345.10
  5. Step 5: Solve for x
    x = 8,387,877,345.10/105,409.30
  6. Step 6: Final answer
    x = 79,574.36

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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.